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February 2019 Unique expectations for discrete crossed products
Vrej Zarikian
Ann. Funct. Anal. 10(1): 60-71 (February 2019). DOI: 10.1215/20088752-2018-0008

Abstract

Let G be a discrete group acting on a unital C-algebra A by -automorphisms. We characterize (in terms of the dynamics) when the inclusion AArG has a unique conditional expectation, and when it has a unique pseudoexpectation in the sense of Pitts; we do likewise for the inclusion AAG. As an application, we re-prove (and potentially extend) some known C-simplicity results for ArG.

Citation

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Vrej Zarikian. "Unique expectations for discrete crossed products." Ann. Funct. Anal. 10 (1) 60 - 71, February 2019. https://doi.org/10.1215/20088752-2018-0008

Information

Received: 20 November 2017; Accepted: 27 March 2018; Published: February 2019
First available in Project Euclid: 16 January 2019

zbMATH: 07045485
MathSciNet: MR3899956
Digital Object Identifier: 10.1215/20088752-2018-0008

Subjects:
Primary: 47L65
Secondary: 46L07, 46M10

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.10 • No. 1 • February 2019
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