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Fall 2014 The Rokhlin property for endomorphisms and strongly self-absorbing $C^{*}$-algebras
Jonathan Brown, Ilan Hirshberg
Illinois J. Math. 58(3): 619-627 (Fall 2014). DOI: 10.1215/ijm/1441790380

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.

Citation

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Jonathan Brown. Ilan Hirshberg. "The Rokhlin property for endomorphisms and strongly self-absorbing $C^{*}$-algebras." Illinois J. Math. 58 (3) 619 - 627, Fall 2014. https://doi.org/10.1215/ijm/1441790380

Information

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

zbMATH: 1332.46067
MathSciNet: MR3395953
Digital Object Identifier: 10.1215/ijm/1441790380

Subjects:
Primary: 46L35, 46L55

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

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Vol.58 • No. 3 • Fall 2014
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