From the basic homotopy lemma to the classification of C*-algebras / Huaxin Lin.
Material type:
- 9781470434908 (alk. paper)
- 510 23 C748
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 510 C748 (Browse shelf(Opens below)) | Available | 138263 |
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Includes bibliographical references and index.
0. An overview of the Elliott program --
1. An introduction to the Basic Homotopy Lemma --
2. Maps to finite dimensional $C^*$-algebras --
3. Stable homotopy lemmas --
4. The Basic Homotopy Lemma, finite dimensional cases --
5. $C^*$-algebras of generalized tracial rank one --
6. More Basic Homotopy Lemmas --
7. Asymptotic unitary equivalence --
8. Classification of simple $C^*$-algebras of finite rank --
Bibliography --
Index.
Examines some recent developments in the theory of $C^*$-algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries.
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