Finite dimensional representations of the soft torus

Authors
Eilers, S Exel, R
Citation
S. Eilers et R. Exel, Finite dimensional representations of the soft torus, P AM MATH S, 130(3), 2001, pp. 727-731
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
130
Issue
3
Year of publication
2001
Pages
727 - 731
Database
ISI
SICI code
0002-9939(2001)130:3<727:FDROTS>2.0.ZU;2-Q
Abstract
The soft tori constitute a continuous deformation, in a very precise sense, from the commutative C*-algebra C(T-2) to the highly non-commutative C*-al gebra C*(F-2). Since both of these C*-algebras are known to have a separati ng family of finite dimensional representations, it is natural to ask wheth er that is also the case for the soft tori. We show that this is in fact th e case.