dorsal/arxiv
View SchemaComparing Two Notions of Coaction Invariance of Ideals in $\mathrm{C}^*$-Algebras
| Authors | Matthew Gillespie, Benjamin Jones, S. Kaliszewski, John Quigg |
|---|---|
| Categories | |
| ArXiv ID | 2601.06679vv1 |
| URL | https://arxiv.org/abs/2601.06679 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Given a coaction $\delta$ of a locally compact group $G$ on a $\mathrm{C}^*$-algebra $A$, we study the relationship between two different forms of coaction invariance of ideals of $A$ and the ideals of the corresponding crossed product $\mathrm{C}^*$-algebra $A \rtimes_{\delta} G$. In particular, we characterize when these two notions of invariance are equivalent.
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"abstract": "Given a coaction $\\delta$ of a locally compact group $G$ on a $\\mathrm{C}^*$-algebra $A$, we study the relationship between two different forms of coaction invariance of ideals of $A$ and the ideals of the corresponding crossed product $\\mathrm{C}^*$-algebra $A \\rtimes_{\\delta} G$. In particular, we characterize when these two notions of invariance are equivalent.",
"arxiv_id": "2601.06679",
"authors": [
"Matthew Gillespie",
"Benjamin Jones",
"S. Kaliszewski",
"John Quigg"
],
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],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Comparing Two Notions of Coaction Invariance of Ideals in $\\mathrm{C}^*$-Algebras",
"url": "https://arxiv.org/abs/2601.06679",
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