Vol. 233, No. 1, 2007

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Rokhlin actions and self-absorbing C-algebras

Ilan Hirshberg and Wilhelm Winter

Vol. 233 (2007), No. 1, 125–143

Let 𝒜 be a unital separable C-algebra and 𝒟 a K1-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 or by is 𝒟-absorbing as well, assuming the action satisfies a Rokhlin property. In the case of a compact Rokhlin action we prove a similar statement about approximate divisibility.

self-absorbing, approximately inner half-flip, crossed products, Rokhlin property
Mathematical Subject Classification 2000
Primary: 46L05, 46L55
Received: 15 May 2006
Revised: 22 June 2007
Accepted: 25 June 2007
Published: 1 November 2007
Ilan Hirshberg
Department of Mathematics
Ben Gurion University of the Negev
P.O.Box 653
Be’er Sheva 84105
Wilhelm Winter
School of Mathematical Sciences
University of Nottingham
University Park
Nottingham NG7 2RD
United Kingdom