Groupoids and Hermitian Banach *-algebras-Reference-Cited by-同舟云学术

Groupoids and Hermitian Banach *-algebras

Published:2022-12 Issue:14 Volume:33 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Austad A.¹,Ortega Eduard²

Affiliation:

1. Department of Mathematics and Computer Science, University of Southern Denmark, DK-5230 Odense, Denmark

2. Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway

Abstract

We study when the twisted groupoid Banach *-algebra [Formula: see text] is Hermitian. In particular, we prove that Hermitian groupoids satisfy the weak containment property. Furthermore, we find that for [Formula: see text] to be Hermitian it is sufficient that [Formula: see text] is Hermitian. Moreover, if [Formula: see text] is ample, we find necessary conditions for [Formula: see text] to be Hermitian in terms of the fibers [Formula: see text].

Funder

Independent Research Fund Denmark

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X22500902

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2. Spectral Invariance of $$*$$-Representations of Twisted Convolution Algebras with Applications in Gabor Analysis

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4. C *-uniqueness Results for Groupoids

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