Z^N-actions on UHF algebras of infinite type
Operator Algebras
2010-07-14 v3
Abstract
We prove that all strongly outer Z^N-actions on a UHF algebra of infinite type are strongly cocycle conjugate to each other. We also prove that all strongly outer, asymptotically representable Z^N-actions on a unital simple AH algebra with real rank zero, slow dimension growth and finitely many extremal tracial states are cocycle conjugate to each other.
Cite
@article{arxiv.1004.3103,
title = {Z^N-actions on UHF algebras of infinite type},
author = {Hiroki Matui},
journal= {arXiv preprint arXiv:1004.3103},
year = {2010}
}
Comments
19 pages