Rokhlin actions and self-absorbing C*-algebras
Operator Algebras
2007-05-23 v2
Abstract
Let A be a unital separable C*-algebra, and D a K_1-injective strongly self-absorbing C*-algebra. We show that if A is D-absorbing, then the crossed product of A by a compact second countable group or by Z or by R is D-absorbing 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.
Keywords
Cite
@article{arxiv.math/0505356,
title = {Rokhlin actions and self-absorbing C*-algebras},
author = {Ilan Hirshberg and Wilhelm Winter},
journal= {arXiv preprint arXiv:math/0505356},
year = {2007}
}
Comments
15 pages; new coauthor joined; substantially revised and enlarged. Earlier results on a single automorphism were generalized, the case of finite groups was generalized to compact groups, and and a new section on Rokhlin flows was added