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Trace spaces of simple nuclear C*-algebras with finite-dimensional extreme boundary
- Publication Year :
- 2012
-
Abstract
- Let A be a unital separable simple infinite-dimensional nuclear C*-algebra with at least one tracial state. We prove that if the trace space of A has compact finite-dimensional extreme boundary then there exist unital embeddings of matrix algebras into a certain central sequence algebra of A which is determined by the uniform topology on the trace space. As an application, it is shown that if furthermore A has strict comparison then A absorbs the Jiang-Su algebra tensorially.<br />Comment: 14 pages
- Subjects :
- Mathematics - Operator Algebras
46L06, 46L35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1209.3000
- Document Type :
- Working Paper