Compact elements and the hypocompact radical of crossed products

We characterize the compact elements and the hypocompact radical of a crossed product $C_0(X)\times _\phi \mathbb Z$ , where X is a locally compact metrizable space and $\phi :X\rightarrow X$ is a homeomorphism, in terms of the corresponding dynamical system $(X,\phi )$ .

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Bibliographic Details
Published inCanadian mathematical bulletin Vol. 68; no. 1; pp. 349 - 358
Main Authors Anoussis, Michael, Magiatis, Charalampos
Format Journal Article
LanguageEnglish
Published Canada Canadian Mathematical Society 01.03.2025
Subjects
47B07
compact elements
hypocompact radical
16Nxx
47L65
Crossed products
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Summary:We characterize the compact elements and the hypocompact radical of a crossed product $C_0(X)\times _\phi \mathbb Z$ , where X is a locally compact metrizable space and $\phi :X\rightarrow X$ is a homeomorphism, in terms of the corresponding dynamical system $(X,\phi )$ .
ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439524000456