|
|||||
|
|
Purely infinite corona algebras of simple C*-algebras |
|
| Authors: | Dan Kucerovsky P. W. Ng Francesc Perera |
| Affiliation: | 1. Department of Mathematics, University of New Brunswick at Fredericton, Fredericton, NB, E3B 5A3, Canada 2. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA 3. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain |
| Abstract: | In this paper, we study the problem of when the corona algebra of a non-unital C*-algebra is purely infinite. A complete answer is obtained for stabilisations of simple and unital algebras that have enough comparison of positive elements. Our result relates the pure infiniteness condition (from its strongest to weakest forms) to the geometry of the tracial simplex of the algebra, and to the behaviour of corona projections, despite the fact that there is no real rank zero condition. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |