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bibliography for operator algebras in mathematical physics and AQFT: K-to- Z

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\subsection{Literature on operator algebras in mathematical physics and algebraic quantum field theories (AQFT):}
{\bf Alphabetical order: letters from K to Z.} 
\begin{thebibliography} {299}
Kawahigashi, Y., Sato, N. and Wakui, M. (2005). $(2+1)$-dimensional topological quantum field theory from subfactors
and Dehn surgery formula for $3$-manifold invariants. {\em Advances in Mathematics}, {\bf 195}, 165-179.
Kazhdan, V. and Lusztig, G. (1994).
Tensor structures arising from affine Lie algebras.
{\em IV, Journal of the American Mathematical Society},
{\bf 7}, 383--453.

Kirby, R. (1978).
A calculus of farmed links in $S^3$.
{\em Inventiones Mathematicae}, {\bf 45}, 35--56.

Kirby, R. and Melvin, P. (1990).
On the $3$-manifold invariants of Witten and Reshetikhin--Turaev.
{\em Inventiones Mathematicae}, {\bf 105}, 473--545.

Kirillov, A. Jr. and Ostrik, V. (2002).
On $q$-analog of McKay correspondence and ADE classification of
$sl^{(2)}$ conformal field theories.
{\em Advances in Mathematics}, {\bf 171}, 183--227.

Kirillov, A. N. and Reshetikhin, N. Yu. (1988).
Representations of the algebra $U_q(sl_2)$,
$q$-orthogonal polynomials and invariants for links.
{\em Infinite dimensional Lie algebras and groups}, (Ka\v c,
V. G., ed.), Advanced Series in Mathematical Physics, vol. 7,

Knizhnik, V. and Zamolodchikov, A. (1984).
Current algebra and Weiss-Zumino models in two dimensions.
{\em Nuclear Physics B}, {\bf 247}, 83--103.

Kodiyalam, V. and Sunder, V. S. (2001).
Spectra of principal graphs.
{\em International Journal of Mathematics}, {\bf 12}, 203--210.

Kodiyalam, V. and Sunder, V. S. (2001).
Flatness and fusion coefficients.
{\em Pacific Journal of Mathematics}, {\bf 201}, 177--204.

Kodiyalam, V. and Sunder, V. S. (2001).
Topological quantum field theories from subfactors.
Chapman \& Hall/CRC, Research Notes in Mathematics, {\bf 423}.

Kohno, T. (1987).
Monodromy representations of braid groups and Yang--Baxter
{\em Annales de l'Institut Fourier, Grenoble},
{\bf 37,4}, 139--160.

Kohno, T. (1992).
Topological invariants for $3$-manifolds using
representations of mapping class groups I.
{\em Topology}, {\bf 31}, 203--230.

Kohno, T. (1992).
Three-manifold invariants derived from conformal field theory
and projective representations of modular groups.
{\em International Journal of Modern Physics}, {\bf 6},

Kosaki, H. (1986).
Extension of Jones' theory on index to arbitrary factors.
{\em Journal of Functional Analysis}, {\bf 66}, 123--140.

Kosaki, H. (1989).
Characterization of crossed product (properly infinite case).
{\em Pacific Journal of Mathematics}, {\bf 137}, 159--167.

Kosaki, H. (1990).
Index theory for type III factors.
in {\em Mappings of operator algebras,
Proceedings of U.S.-Japan Seminar}, (ed. H. Araki and R. V.
Kadison), Birkh\"auser, 129--139.

Kosaki, H. (1993).
Automorphisms in the irreducible decompositions of sectors.
{\em Quantum and non-commutative analysis}, (ed. H. Araki et al.),
Kluwer Academic, 305--316.

Kosaki, H. (1994).
AFD factor of type III$_0$ with many isomorphic
index 3 subfactors.
{\em Journal of Operator Theory}, {\bf 32}, 17--29.

Kosaki, H. (1994).
Some remarks on automorphisms for inclusions of type III factors.
in {\em Subfactors --- Proceedings of the Taniguchi Symposium, Katata ---},
(ed. H. Araki, et al.), World Scientific, 153--171.

Kosaki, H. (1996).
Sector theory and automorphisms for factor-subfactor pairs.
{\em Journal of the Mathematical Society of Japan},
{\bf 48}, 427--454.

Kosaki, H. and Loi, P. H. (1995).
A remark on non-splitting inclusions of type III$_1$
{\em International Journal of Mathematics}, {\bf 6}, 581--586.

Kosaki, H. and Longo, R. (1992).
A remark on the minimal index of subfactors.
{\em Journal of Functional Analysis}, {\bf 107}, 458--470.

Kosaki, H., Munemasa, A. and Yamagami, S. (1997).
On fusion algebras associated to finite group actions.
{\em Pacific Journal of Mathematics}, {bf 177}, 269--290.

Kosaki, H. and Yamagami, S. (1992).
Irreducible bimodules associated with crossed
product algebras.
{\em International Journal of Mathematics},
{\bf 3}, 661--676.

K\"oster, S. (2002).
Conformal transformations as observables.
{\em Letters in Mathematical Physics},
{\bf 61}, 187--198.

K\"oster, S. (preprint 2003).
Absence of stress energy tensor in CFT$_2$ models.

K\"oster, S. (2004).
Local nature of coset models.
{\em Reviews in Mathematical Physics},
{\bf 16}, 353--382.

K\"oster, S. (preprint 2003).
Structure of coset models.

Kostov, I. (1988).
Free field presentation of the $A_n$ coset models on the torus.
{\em Nuclear Physics B}, {\bf 300}, 559--587.

Kramers, H. A. and Wannier, G. H. (1941).
Statistics of the two dimensional ferromagnet part 1.
{\em Physical Review}, {\bf 60}, 252--262.

Kuik, R. (1986).
On the $q$-state Potts model by means of non-commutative algebras.
Ph.D. Thesis Groningen.

Kulish, P. and Reshetikhin, N. (1983).
Quantum linear problem for the sine-Gordon equation
and higher representations.
{\em Journal of Soviet Mathematics},
{\bf 23}, 2435--2441.

Kuniba, A., Akutsu, Y. and Wadati, M. (1986).
Virasoro algebra, von Neumann algebra
and critical eight vertex SOS model.
{\em Journal of Physics Society of Japan}, {\bf 55}, 3285--3288.

Landau, Z. (2001).
Fuss-Catalan algebras and chains of intermediate subfactors.
{\em Pacific Journal of Mathematics},
{\bf 197}, 325--367.

Landau, Z. (2002).
Exchange relation planar algebras.
{\em Journal of Functional Analysis}, {\bf 195}, 71--88.

Lickorish, W. (1988).
Polynomials for links.
{\em Bulletin of the American Mathematical Society},
{\bf 20}, 558--588.

Loi, P. H. (1988).
On the theory of index and type III factors.
Thesis, Pennsylvania State University.

Loi, P. H. (1996).
On automorphisms of subfactors.
{\em Journal of Functional Analysis},
{\bf 141}, 275--293.

Loi, P. H. (1994).
On the derived tower of certain inclusions of type
III$_\lambda$ factors of index 4.
{\em Pacific Journal of Mathematics},
{\bf 165}, 321--345.

Loi, P. H. (1994).
Remarks on automorphisms of subfactors.
{\em Proceedings of the American Mathematical Society},
{\bf 121}, 523--531.

Loi, P. H. (1997).
Periodic and strongly free automorphisms on inclusions of
type III$_\lambda$ factors.
{\em International Journal of Mathematics},
{\bf 8}, 83--96.

Loi, P. H. (1998).
A structural result of irreducible inclusions of type
III$_\lambda$ factors.
{\em Proceedings of the American Mathematical Society},
{\bf 126}, 2651--2662.

Loi, P. H. (1998).
Commuting squares and the classification of finite depth
inclusions of AFD type III$_\lambda$ factors, $\lambda\in(0,1)$.
{\em Publications of the RIMS, Kyoto University},
{\bf 34}, 115--122.

Loke, T. (1994).
Operator algebras and conformal field theory of the
discrete series representations of Diff$(S^1)$.
{\em Thesis, University of Cambridge}.

Longo, R. (1978)
A simple proof of the existence of modular
automorphisms in approximately finite dimensional
von Neumann algebras.
{\em Pacific Journal of Mathematics}, {\bf 75}, 199--205.

Longo, R. (1979).
Automatic relative boundedness of derivations in
{\em Journal of Functional Analysis},
{\bf 34}, 21--28.

Longo, R. (1984).
Solution of the factorial Stone-Weierstrass conjecture.
An application of the theory of standard split $W^*$-inclusions.
{\em Inventiones Mathematicae}, {\bf 76}, 145--155.

Longo, R. (1987).
Simple injective subfactors.
{\em Advances in Mathematics}, {\bf 63}, 152--171.

Longo, R. (1989).
Index of subfactors and statistics of quantum fields, I.
{\em Communications in Mathematical Physics}, {\bf 126}, 217--247.

Longo, R. (1990).
Index of subfactors and statistics of quantum fields II.
{\em Communications in Mathematical Physics}, {\bf 130}, 285--309.

Longo, R. (1992).
Minimal index and braided subfactors.
{\em Journal of Functional Analysis}, {\bf 109}, 98--112.

Longo, R. (1994).
A duality for Hopf algebras and for subfactors I.
{\em Communications in Mathematical Physics},
{\bf 159}, 133--150.

Longo, R. (1994).
Problems on von Neumann algebras suggested by
quantum field theory.
in {\em Subfactors --- Proceedings of the Taniguchi Symposium, Katata ---},
(ed. H. Araki, et al.),
World Scientific, 233--241.

Longo, R. (1997).
An analogue of the Kac-Wakimoto formula and black hole
conditional entropy.
{\em Communications in Mathematical Physics},
{\bf 186}, 451--479.

Longo, R. (1999).
On the spin-statistics relation for topological charges.
in {\em Operator Algebras and Quantum Field Theory}
(ed. S. Doplicher, et al.), International Press, 661--669.

Longo, R. (2001).
Notes for a quantum index theorem.
{\em Communications in Mathematical Physics},
{\bf 222}, 45--96.

Longo, R. (2003).
Conformal subnets and intermediate subfactors.
{\em Communications in Mathematical Physics},
{\bf 237}, 7--30.

Longo, R. and Rehren, K.-H. (1995).
Nets of subfactors.
{\em Reviews in Mathematical Physics},
{\bf 7}, 567--597.

Longo, R. and Rehren, K.-H. (2004).
Local fields in boundary CFT.
{\em Reviews in Mathematical Physics},
{\bf 16}, 909--960.

Longo, R. and Rehren, K.-H. (preprint 2007).
How to remove the boundary.

Longo, R. and Roberts, J. E. (1997).
A theory of dimension.
{\em $K$-theory}, {\bf 11}, 103--159.

Longo, R. and Xu, F. (2004).
Topological sectors and a dichotomy in conformal field theory.
{\em Communications in Mathematical Physics}, {\bf 251}, 321--364.

Markov, A. (1935).
\"Uber de freie Aquivalenz geschlossener Z\"opfe.
{\em Rossiiskaya Akademiya Nauk, Matematicheskii Sbornik}, {\bf 1}, 73--78.

Masuda, T. (1997). An analogue of Longo's canonical endomorphism for
bimodule theory and its application to asymptotic inclusions.
{\em International Journal of Mathematics},
{\bf 8}, 249--265.

Masuda, T. (1999). Classification of actions of discrete amenable groups on
strongly amenable subfactors of type $III_\lambda$.
{\em Proceedings of the American Mathematical Society},
{\bf 127}, 2053--2057.

Masuda, T. (1999). Classification of strongly free actions of discrete amenable groups on
strongly amenable subfactors of type $III_0$. {\em Pacific Journal of Mathematics},
{\bf 191}, 347--357.

Masuda, T. (2000). Generalization of Longo-Rehren construction to subfactors of
infinite depth and amenability of fusion algebras.
{\em Journal of Functional Analysis}, {\bf 171}, 53--77.

Masuda, T. (2001). Extension of automorphisms of a subfactor to the symmetric
enveloping algebra. {\em International Journal of Mathematics},
{\bf 12}, 637--659.

Masuda, T. (in press). Classification of approximately inner actions of discrete
amenable groups on strongly amenable subfactors.
{\em International Journal of Mathematics},

Masuda, T. (2003).Notes on group actions on subfactors.
{\em Journal of the Mathematical Society of Japan}, {\bf 55}, 1--11.

Masuda, T. (2003). On non-strongly free automorphisms of subfactors of type III$_0$.
{\em Canadian Mathematical Bulletin}, {\bf 46}, 419--428.

Masuda, T. (2005). An analogue of Connes-Haagerup approach to classification of
subfactors of type $III_1$. {\em Journal of the Mathematical Society of Japan}, {\bf 57}, 959--1001.

McCoy, B. and Wu, T. (1972). The two dimensional Ising model.
{\em Harvard University Press, Cambridge, Massachusetts}, {\bf 40}.

McDuff, D. (1969). Uncountably many $II_1$ factors. {\em Annals of Mathematics}, {\bf 90}, 372--377.

McDuff, D. (1970). Central sequences and the hyperfinite factor.
{\em Proceedings of the London Mathematical Society},
{\bf 21}, 443--461.

Moore, G. and Seiberg, N. (1989). Classical and quantum conformal field theory.
{\em Communications in Mathematical Physics},
{\bf 123}, 177--254.

Moore, G. and Seiberg, N. (1989). Naturality in conformal field theory.
{\em Nuclear Physics B}, {\bf 313}, 16--40.

M\"uger, M. (1998). Superselection structure of massive quantum field theories in $1+1$
dimensions. {\em Reviews in Mathematical Physics}, {\bf 10}, 1147--1170.

M\"uger, M. (1999). On soliton automorphisms in massive and conformal theories.
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M\"uger, M. (1999). On charged fields with group symmetry and degeneracies of Verlinde's
matrix $S$. {\em Annales de l'Institut Henri Poincar\'e. Physique Th\'eorique},
{\bf 71}, 359--394.

M\"uger, M. (2000). Galois theory for braided tensor categories and the modular closure.
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M\"uger, M. (2001). Conformal field theory and Doplicher-Roberts reconstruction.
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AMS Publications, 297--319. math-ph/0008027.

M\"uger, M. (2003). From subfactors to categories and topology I.
Frobenius algebras in and Morita equivalence of tensor categories.
{\em Journal of Pure and Applied Algebra}, {\bf 180}, 81--157. math.CT/0111204.

M\"uger, M. (2003). From subfactors to categories and topology II.
The quantum double of subfactors and categories.
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M\"uger, M. (in press).
On the structure of modular categories. {\em Proceedings of the London Mathematical Society}. math.CT/0201017.

M\"uger, M. (preprint 2002). Galois extensions of braided tensor categories and
braided crossed G-categories. math.CT/0209093.

M\"uger, M. (2005). Conformal orbifold theories and braided crossed G-categories
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Munemasa, A. and Watatani, Y. (1992). Paires orthogonales de sous-algebres involutives.
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Murakami, J. (1987). The Kauffman polynomial of lins and representation theory.
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Murakami, H. (1994). Quantum $SU(2)$-invariants dominate Casson's
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