C *-uniqueness Results for Groupoids-Reference-Cited by-同舟云学术

C *-uniqueness Results for Groupoids

Published:2020-09-04 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Austad Are¹,Ortega Eduard¹

Affiliation:

1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim 7034, Norway

Abstract

Abstract For a 2nd-countable locally compact Hausdorff étale groupoid ${\mathcal{G}}$ with a continuous $2$-cocycle $\sigma $ we find conditions that guarantee that $\ell ^1 ({\mathcal{G}},\sigma )$ has a unique $C^*$-norm.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa225/33733964/rnaa225.pdf

Reference18 articles.

1. Uniqueness questions for $C^{\ast }$-norms on group rings;Alekseev;Pacific J. Math,2019

2. Non-amenable principal groupoids with weak containment;Alekseev;Int. Math. Res. Not. IMRN,2018

3. Simplicity of twisted $C^{\ast }$-algebras of topological higher-rank graphs;Armstrong

4. Spectral invariance of $C^{\ast }$-representations of twisted convolution algebras with applications in Gabor analysis;Austad

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1. Alexandrov groupoids and the nuclear dimension of twisted groupoid C⁎-algebras;Journal of Functional Analysis;2024-05

2. Groupoids and Hermitian Banach *-algebras;International Journal of Mathematics;2022-12

3. A uniqueness theorem for twisted groupoid C*-algebras;Journal of Functional Analysis;2022-09