Rokhlin actions and self-absorbing C*-algebras

Details Rokhlin actions and self-absorbing C*-algebras Rokhlin actions and self-absorbing C*-algebras

2005-05-17

arxiv.org/abs/math/0505356v2

Mathematics

Operator Algebras

15 pages; new coauthor joined; substantially revised and enlarged. Earlier results on a single automorphism were generalized,

Scientific paper

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.

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