Rokhlin actions and selfabsorbing C*algebras
Abstract
Let A be a unital separable C*algebra, and D a K_1injective strongly selfabsorbing C*algebra. We show that if A is Dabsorbing, then the crossed product of A by a compact second countable group or by Z or by R is Dabsorbing as well, assuming the action satisfying a Rokhlin property. In the case of a compact Rokhlin action we prove a similar statement about approximate divisibility.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.math/0505356
 arXiv:
 arXiv:math/0505356
 Bibcode:
 2005math......5356H
 Keywords:

 Mathematics  Operator Algebras;
 46L55;
 46L05
 EPrint:
 15 pages