TY  - BOOK
AU  - Lin,Huaxin
ED  - NSF-CBMS Regional Conference in the Mathematical Sciences on the Basic Homotopy Lemma, the Asymptotic Uniqueness Theorem, and Classification of C*-Algebras
TI  - From the basic homotopy lemma to the classification of C*-algebras
T2  - CBMS-Regional conference series in mathematics
SN  - 9781470434908 (alk. paper)
U1  - 510 23
PY  - 2017///
CY  - Providence : 
PB  - Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society
KW  - Homotopy theory
KW  - Problems, exercises, etc
KW  - C*-algebras
N1  - 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
N2  - 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.
ER  -