Convolution semigroups on Rieffel deformations of locally compact quantum groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914745598083072 |
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| author | Skalski, Adam Viselter, Ami |
| author_facet | Skalski, Adam Viselter, Ami |
| contents | Consider a locally compact quantum group $\mathbb{G}$ with a closed classical abelian subgroup $Γ$ equipped with a $2$-cocycle $Ψ:\hatΓ\times\hatΓ\to\mathbb{C}$. We study in detail the associated Rieffel deformation $\mathbb{G}^Ψ$ and establish a canonical correspondence between $Γ$-invariant convolution semigroups of states on $\mathbb{G}$ and on $\mathbb{G}^Ψ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04630 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convolution semigroups on Rieffel deformations of locally compact quantum groups Skalski, Adam Viselter, Ami Operator Algebras Functional Analysis Probability Quantum Algebra 46L65 (Primary), 46L67, 46L89 (Secondary) Consider a locally compact quantum group $\mathbb{G}$ with a closed classical abelian subgroup $Γ$ equipped with a $2$-cocycle $Ψ:\hatΓ\times\hatΓ\to\mathbb{C}$. We study in detail the associated Rieffel deformation $\mathbb{G}^Ψ$ and establish a canonical correspondence between $Γ$-invariant convolution semigroups of states on $\mathbb{G}$ and on $\mathbb{G}^Ψ$. |
| title | Convolution semigroups on Rieffel deformations of locally compact quantum groups |
| topic | Operator Algebras Functional Analysis Probability Quantum Algebra 46L65 (Primary), 46L67, 46L89 (Secondary) |
| url | https://arxiv.org/abs/2311.04630 |