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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.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores Corporativos: | , |
| Otros Autores: | , |
| 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 |
Tabla de Contenidos:
- 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
- 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
- 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.
- 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)