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Operator algebras and applications. Vol. 1, Structure theory, K-theory, geometry and topology /
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.
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| Colección: | London Mathematical Society lecture note series ;
135. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Preface; Contents; UK-US Joint Seminar on Operator Algebras; K-Theory For Discrete Groups; 1. Statement of the Conjecture; 2. Chern Character; 3. Finite Groups and Abelian Groups; 4. Evidence For The Conjecture; 5. Negative Indications; 6. The More General Conjecture; 7. Gromov's Principle; References; Comparison theory for simple C*-algebras; 1. INTRODUCTION; 2. EXISTENCE OF TRACES; 3. COMPARABILITY IN STABLY FINITE ALGEBRAS; 4. EXISTENCE OF SMALL PROJECTIONS; 5. EXAMPLES; 6. COMPARABILITY FOR GENERAL POSITIVE ELEMENTS; 7. SOME CONSEQUENCES; REFERENCES
- Interpolation for MultipliersElliptic Invariants and Operator Algebras: Toroidal Examples; On Multilinear Double Commutant Theorems; 1. Introduction; 2. The single variable theory; 3. The Bilinear Double Commutant Theorem; 4. The Trilinear Case; 5. The general case; References; Loop spaces, cyclic homology and the Chern character; INTRODUCTION; 1 ITERATED INTEGRALS; 2 EQUIVARIANT COHOMOLOGY; 3 CYCLIC HOMOLOGY; 4 THE CHERN CHARACTER; REFERENCES; The Weyl theorem and block decompositions; 1 INTRODUCTION; 2 BLOCK DECOMPOSITION AND WEYL'S THEOREM IN SEMI-FINITE FACTORS; REFERENCES
- Secondary invariants for elliptic operators and operator algebras1 Introduction; 2 Higher order invariants of elliptic operators; 3 Lifting the operator to a foliation; 4 Toeplitz index theory along the leaves of a foliation; 5 Secondary invariants; REFERENCES; Inverse limits of C*-algebras and applications; Part 1: Pro-C*-Algebras.; Part 2: Applications.; REFERENCES; Partitioning non-compact manifolds and the dual Toeplitz problem; Introduction; Acknowledgements; 1. Non compact manifolds and partitions; 2. The odd index on a non-compact manifold; 3. The operator on N