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Record Nr. |
UNINA9910788873603321 |
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Autore |
Watatani Yasuo <1953-> |
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Titolo |
Index for C-subalgebras / / Yasuo Watatani |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1990 |
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©1990 |
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ISBN |
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Descrizione fisica |
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1 online resource (129 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 424 |
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Disciplina |
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Soggetti |
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C*-algebras |
Index theorems (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1990, Volume 83, Number 424 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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