1.

Record Nr.

UNINA9910788873603321

Autore

Watatani Yasuo <1953->

Titolo

Index for C-subalgebras / / Yasuo Watatani

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1990

©1990

ISBN

1-4704-0847-3

Descrizione fisica

1 online resource (129 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 424

Disciplina

512/.55

Soggetti

C*-algebras

Index theorems (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 1990, Volume 83, Number 424 (end of volume)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. PURELY ALGEBRAIC PRELIMINARIES""; ""1.1. Assumptions""; ""1.2. Conditional expectations""; ""1.3. Morita equivalence""; ""1.4. Uniqueness of conditional expectations""; ""1.5. Index under direct sums and tensor products""; ""1.6. Dual conditional expectations""; ""1.7. Composition of conditional expectations""; ""1.8. Coring structure and separable extensions""; ""1.9. Hattori�Stalling rank and index""; ""1.10. Generalized Casimir elements""; ""1.11. Modular automorphisms""; ""CHAPTER II. INDEX FOR C*�ALGEBRAS""

""2.1. Reduced C*�basic construction""""2.2. Unreduced C*�basic construction""; ""2.3. Values of index""; ""2.4. Index for finite dimensional C*�algebras""; ""2.5. Index for factors""; ""2.6. Some constants""; ""2.7. Finite index""; ""2.8. Index, freeness of group actions and covering spaces""; ""2.9. Some other examples""; ""2.10. Radon�Nikodym derivatives""; ""2.11. Reduction""; ""2.12. Minimizing index""; ""CHAPTER III. TRANSFER""; ""3.1. Induced and co�induced modules""; ""3.2. Transfer maps in Tor and Ext""; ""3.3. Transfer maps in the K�theory of C*�algebras""

""REFERENCES""