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Operator algebras and applications. Vol. 2, Mathematical physics and subfactors /

These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: London Mathematical Society, UK-US Joint Seminar on Operator Algebras
Otros Autores: Evans, David E., Takesaki, Masamichi, 1933-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, ©1988.
Colección:London Mathematical Society lecture note series ; 136.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Operator algebras and applications.  |n Vol. 2,  |p Mathematical physics and subfactors /  |c edited by David E. Evans and Masamichi Takesaki. 
246 3 0 |a Mathematical physics and subfactors 
260 |a Cambridge :  |b Cambridge University Press,  |c ©1988. 
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490 1 |a London Mathematical Society lecture note series ;  |v 136 
500 |a Papers from a UK-US Joint Seminar on Operator Algebras held at the University of Warwick during 20-25 July 1987. 
588 0 |a Print version record. 
520 |a These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field. 
505 0 |a Cover; Title; Copyright; Preface; Contents; UK-US Joint Seminar on Operator Algebras; Some recent results for the planar Ising model; Introduction; 2. Monodromy and Yang-Baxter equations; 3. Matrix elements; 4. Pair correlation function; 5. Conclusion; References; The heat semigroup, derivations and Reynolds' identity; 1. Introduction; 2. Holomorphic semigroups and conservative operators; 3. Abelian C -algebras and derivations; 4. Derivations; 5. Reynolds's identity; 6. Alternative forms of the O(t-1/2) estimate.; Acknowledgements; References 
505 8 |a C*-algebras in solid state physics: 2D Electrons in uniform magnetic fieldI- Introduction :; II- 2D Bloch electrons in a magnetic field :; III- The Rotation Algebra :; IV- Hofstadter like Spectra :; V- The Integer Quantum Hall Effect:; References; Spin groups, infinite dimensional Clifford algebras and applications; CONTENTS; 1 THE INFINITE DIMENSIONAL COMPLEX ORTHOGONAL AND SPIN GROUPS; LEMMA 2:; 2 APPLICATIONS; ACKNOWLEDGEMENT; REFERENCES; Subfactors and related topics; I Commuting squares; II Vertex models; Ill The Yang Baxter equation; IV Knot theory; V Quantum groups; VI Field theory 
505 8 |a Quantized groups, string algebras, and Galois theory for algebrasABSTRACT; INTRODUCTION; THE PROBLEM; THE GALOIS FUNCTOR; THE INVARIANT; THE MODEL; THE RANGE THEOREM; THE CLASSIFICATION THEOREM; SUBFACTORS OF INDEX LESS THAN 4; PARAGROUPS; QUANTIZED DYNAMICAL SYSTEMS; APPENDIX A: AXIOMS FOR COUPLING SYSTEMS AND PARAGROUPS; a) NOTATION; b) MEASURE GRAPHS; c) LOCAL COUPLING SYSTEMS; d) CELL CALCULUS; e) GLOBAL COUPLING SYSTEMS; f) COUPLING SYSTEMS; On amenability in type II1 factors; 1. Introduction.; 1.1 Notation.; 1.2 Injectivity.; 1.3 Hyperfiniteness. 
505 8 |a 1.4. Murray-von Neumann global approximation property. 1.5. The local approximation property.; 1.6. A digression on the Connes-Feldman-Weiss theorem.; 2. Proof of the local approximation property.; 2.1 The noncommutative local Rohlin lemma.; 2.2 Connes' Følner type condition.; 2.3. Combining the local Rohlin lemma with the Følner condition; 3. Some Comments.; 3.1 The Connes' Følner type condition.; 3.2. The proof of the local Rohlin lemma 2.1.; 3.3. General finite von Neumann algebras.; Acknowledgement; References; An index for semigroups of *-endomorphisms of B(H) 
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700 1 |a Takesaki, Masamichi,  |d 1933- 
710 2 |a London Mathematical Society. 
711 2 |a UK-US Joint Seminar on Operator Algebras  |d (1987 :  |c University of Warwick) 
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830 0 |a London Mathematical Society lecture note series ;  |v 136. 
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