Annals of Functional Analysis

Scattered locally C*-algebras

Maria Joiţa

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Abstract

In this article, we introduce the notion of a scattered locally C*-algebra and we give the conditions for a locally C*-algebra to be scattered. Given an action α of a locally compact group G on a scattered locally C*-algebra A[τΓ], it is natural to ask under what conditions the crossed product A[τΓ]×αG is also scattered. We obtain some results concerning this question.

Article information

Source
Ann. Funct. Anal. Volume 9, Number 1 (2018), 30-40.

Dates
Received: 12 October 2016
Accepted: 30 January 2017
First available in Project Euclid: 12 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.afa/1499824814

Digital Object Identifier
doi:10.1215/20088752-2017-0021

Subjects
Primary: 46L05: General theory of $C^*$-algebras
Secondary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] 46L85: Noncommutative topology [See also 58B32, 58B34, 58J22]

Keywords
locally $C^{\ast}$-algebras scattered locally $C^{\ast}$-algebras crossed product of locally $C^{\ast}$-algebras

Citation

Joiţa, Maria. Scattered locally $C^{\ast}$ -algebras. Ann. Funct. Anal. 9 (2018), no. 1, 30--40. doi:10.1215/20088752-2017-0021. https://projecteuclid.org/euclid.afa/1499824814


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