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Rokhlin actions and self-absorbing C*-algebras

Ilan Hirshberg·Wilhelm Winter
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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.

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Ilan Hirshberg, Wilhelm Winter. 2005-09-11. Rokhlin actions and self-absorbing C*-algebras. https://arxiv.org/abs/math/0505356

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