Divisibility properties for C*-algebras
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We consider three notions of divisibility in the Cuntz semigroup of a C*-algebra, and show how they reflect properties of the C*-algebra. We develop methods to construct (simple and non-simple) C*-algebras with specific divisibility behaviour. As a byproduct of our investigations, we show that there exists a sequence (An) of simple unital infinite dimensional C*-algebras such that the product ∏n=1∞ An has a character.
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the London Mathematical Society |
Vol/bind | 106 |
Udgave nummer | 6 |
Sider (fra-til) | 1330-1370 |
ISSN | 0024-6115 |
DOI | |
Status | Udgivet - 2013 |
ID: 117194666