Simplicity and the stable rank of some free product C*-algebras

Authors
Dykema, KJ
Citation
Kj. Dykema, Simplicity and the stable rank of some free product C*-algebras, T AM MATH S, 351(1), 1999, pp. 1-40
Citations number
21
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
1
Year of publication
1999
Pages
1 - 40
Database
ISI
SICI code
0002-9947(199901)351:1<1:SATSRO>2.0.ZU;2-Y
Abstract
A necessary and sufficient condition for the simplicity of the C*-algebra r educed free product of finite dimensional abelian algebras is found, and it is proved that the stable rank of every such free product is 1. Related re sults about other reduced free products of C*-algebras are proved.