Comparing Two Notions of Coaction Invariance of Ideals in $\mathrm{C}^*$-Algebras
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866917194622828544 |
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| author | Gillespie, Matthew Jones, Benjamin Kaliszewski, S. Quigg, John |
| author_facet | Gillespie, Matthew Jones, Benjamin Kaliszewski, S. Quigg, John |
| contents | Given a coaction $δ$ 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 $A \rtimes_δ G$. In particular, we characterize when these two notions of invariance are equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Comparing Two Notions of Coaction Invariance of Ideals in $\mathrm{C}^*$-Algebras Gillespie, Matthew Jones, Benjamin Kaliszewski, S. Quigg, John Operator Algebras Given a coaction $δ$ 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 $A \rtimes_δ G$. In particular, we characterize when these two notions of invariance are equivalent. |
| title | Comparing Two Notions of Coaction Invariance of Ideals in $\mathrm{C}^*$-Algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2601.06679 |