Illinois Journal of Mathematics

The Rokhlin property for endomorphisms and strongly self-absorbing $C^{*}$-algebras

Jonathan Brown and Ilan Hirshberg

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Abstract

In this paper, we define a Rokhlin property for automorphisms of non-unital $C^{*}$-algebras and for endomorphisms. We show that the crossed product of a $C^{*}$-algebra by a Rokhlin automorphism preserves absorption of a strongly self-absorbing $C^{*}$-algebra, and use this result to deduce that the same result holds for crossed products by endomorphisms in the sense of Stacey. This generalizes earlier results of the second named author and W. Winter.

Article information

Source
Illinois J. Math., Volume 58, Number 3 (2014), 619-627.

Dates
Received: 3 February 2014
Revised: 14 August 2014
First available in Project Euclid: 9 September 2015

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1441790380

Mathematical Reviews number (MathSciNet)
MR3395953

Zentralblatt MATH identifier
1332.46067

Subjects
Primary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] 46L35: Classifications of $C^*$-algebras

Citation

Brown, Jonathan; Hirshberg, Ilan. The Rokhlin property for endomorphisms and strongly self-absorbing $C^{*}$-algebras. Illinois J. Math. 58 (2014), no. 3, 619--627. https://projecteuclid.org/euclid.ijm/1441790380


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