Scattered locally \(C^*\)-algebras

DOI10.1215/20088752-2017-0021zbMATH Open1394.46040arXiv1606.01542OpenAlexW3104552396MaRDI QIDQ1697806

Maria Joiţa

Publication date: 20 February 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Abstract: In this paper, we introduce the notion of a scattered locally $C^{ast}$ -algebra and we give conditions for a locally $C^{ast}$-algebra to be scattered. Given an action $alpha$ of a locally compact group $G$ on a scattered locally $C^{ast}$-algebra $A[a{u}_{Gamma}]$, it is natural to ask under what conditions the crossed product $A[a{u}_{Gamma}]ime{s}_{alpha}G$ is also scattered. We obtain some results concerning this question.

Full work available at URL: https://arxiv.org/abs/1606.01542

zbMATH Keywords

crossed product of locally \(C^{\ast}\)-algebraslocally \(C^{\ast}\)-algebrasscattered locally \(C^{\ast}\)-algebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (1)

Noncommutative Cantor-Bendixson derivatives and scattered \(C^*\)-algebras

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