Analysis for idempotent states on quantum permutation groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866909659306131456 |
|---|---|
| author | McCarthy, J. P. |
| author_facet | McCarthy, J. P. |
| contents | Woronowicz proved the existence of the Haar state for compact quantum groups under a separability assumption later removed by Van Daele in a new existence proof. A minor adaptation of Van Daele's proof yields an idempotent state in any non-empty weak*-compact convolution-closed convex subset of the state space. Such subsets, and their associated idempotent states, are studied in the case of quantum permutation groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_13423 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analysis for idempotent states on quantum permutation groups McCarthy, J. P. Operator Algebras Quantum Algebra 46L30, 46L67 Woronowicz proved the existence of the Haar state for compact quantum groups under a separability assumption later removed by Van Daele in a new existence proof. A minor adaptation of Van Daele's proof yields an idempotent state in any non-empty weak*-compact convolution-closed convex subset of the state space. Such subsets, and their associated idempotent states, are studied in the case of quantum permutation groups. |
| title | Analysis for idempotent states on quantum permutation groups |
| topic | Operator Algebras Quantum Algebra 46L30, 46L67 |
| url | https://arxiv.org/abs/2301.13423 |