Banach algebra crossed products by inverse semigroup actions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915743520522240 |
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| author | Bardadyn, K. Kwaśniewski, B. K. |
| author_facet | Bardadyn, K. Kwaśniewski, B. K. |
| contents | We give a self-contained and simplified presentation of the theory of covariant representations for inverse semigroup actions on Banach algebras, which was recently introduced in the authors and A. Mckee in the twisted case. The main result of this note is a general universal description of the associated Banach algebra crossed product, that allows disintegration of all representations of the crossed product. Such a disintegration was studied so far only for actions on spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14907 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Banach algebra crossed products by inverse semigroup actions Bardadyn, K. Kwaśniewski, B. K. Functional Analysis Operator Algebras 47L10, 46H15, 16W22 We give a self-contained and simplified presentation of the theory of covariant representations for inverse semigroup actions on Banach algebras, which was recently introduced in the authors and A. Mckee in the twisted case. The main result of this note is a general universal description of the associated Banach algebra crossed product, that allows disintegration of all representations of the crossed product. Such a disintegration was studied so far only for actions on spaces. |
| title | Banach algebra crossed products by inverse semigroup actions |
| topic | Functional Analysis Operator Algebras 47L10, 46H15, 16W22 |
| url | https://arxiv.org/abs/2601.14907 |