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From the Basic Homotopy Lemma to the Classification of $C^{*}$-algebras
About this Title
Huaxin Lin, East China Normal University, Shanghai, China
Publication: CBMS Regional Conference Series in Mathematics
Publication Year:
2017; Volume 124
ISBNs: 978-1-4704-3490-8 (print); 978-1-4704-4192-0 (online)
DOI: https://doi.org/10.1090/cbms/124
MathSciNet review: MR3699426
MSC: Primary 46L35; Secondary 19M05, 46L05, 46L80
Table of Contents
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Front/Back Matter
Chapters
- An overview of the Elliott program
- An introduction to the Basic Homotopy Lemma
- Maps to finite dimensional $C^*$-algebras
- Stable homotopy lemmas
- The Basic Homotopy Lemma, finite dimensional cases
- $C^*$-algebras of generalized tracial rank one
- More Basic Homotopy Lemmas
- Asymptotic unitary equivalence
- Classification of simple $C^*$-algebras of finite rank
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- Wilhelm Winter and Joachim Zacharias, The nuclear dimension of $C^\ast$-algebras, Adv. Math. 224 (2010), no. 2, 461–498. MR 2609012, DOI 10.1016/j.aim.2009.12.005