Bijections Between Sets of Invariant Ideals, Via the Ladder Technique
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916282526334976 |
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| author | Gillespie, Matthew Kaliszewski, S. Quigg, John Williams, Dana P. |
| author_facet | Gillespie, Matthew Kaliszewski, S. Quigg, John Williams, Dana P. |
| contents | We present a new method of establishing a bijective correspondence - in fact, a lattice isomorphism - between action- and coaction-invariant ideals of C*-algebras and their crossed products by a fixed locally compact group. It is known that such a correspondence exists whenever the group is amenable; our results hold for any locally compact group under a natural form of coaction invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06780 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bijections Between Sets of Invariant Ideals, Via the Ladder Technique Gillespie, Matthew Kaliszewski, S. Quigg, John Williams, Dana P. Operator Algebras We present a new method of establishing a bijective correspondence - in fact, a lattice isomorphism - between action- and coaction-invariant ideals of C*-algebras and their crossed products by a fixed locally compact group. It is known that such a correspondence exists whenever the group is amenable; our results hold for any locally compact group under a natural form of coaction invariance. |
| title | Bijections Between Sets of Invariant Ideals, Via the Ladder Technique |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2406.06780 |