Automorphisms of AT algebras with the Rohlin property

Authors
Citation
A. Kishimoto, Automorphisms of AT algebras with the Rohlin property, J OPER THEO, 40(2), 1998, pp. 277-294
Citations number
21
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF OPERATOR THEORY
ISSN journal
03794024 → ACNP
Volume
40
Issue
2
Year of publication
1998
Pages
277 - 294
Database
ISI
SICI code
0379-4024(199823)40:2<277:AOAAWT>2.0.ZU;2-D
Abstract
We consider automorphisms of a unital simple AT algebra of red rank zero wi th unique tracial state and give several conditions equivalent to the Rohli n property, partially extending similar results in the UHF algebra case. Th e conditions on an automorphism include that the crossed product has a uniq ue tracial state and that the crossed product has real rank zero.