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February 2018 Scattered locally C*-algebras
Maria Joiţa
Ann. Funct. Anal. 9(1): 30-40 (February 2018). DOI: 10.1215/20088752-2017-0021

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.

Citation

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Maria Joiţa. "Scattered locally C*-algebras." Ann. Funct. Anal. 9 (1) 30 - 40, February 2018. https://doi.org/10.1215/20088752-2017-0021

Information

Received: 12 October 2016; Accepted: 30 January 2017; Published: February 2018
First available in Project Euclid: 12 July 2017

zbMATH: 06841339
MathSciNet: MR3758741
Digital Object Identifier: 10.1215/20088752-2017-0021

Subjects:
Primary: 46L05
Secondary: 46L55 , 46L85

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

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 1 • February 2018
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