Adelic C*-correspondences and parabolic induction
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917193078276096 |
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| author | Goffeng, Magnus Mesland, Bram Sengun, Mehmet Haluk |
| author_facet | Goffeng, Magnus Mesland, Bram Sengun, Mehmet Haluk |
| contents | In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-modules and of C*-correspondences. The construction produces global C*-correspondences from compatible collections of local C*-correspondences. When applied to the collection of C*-correspondences capturing local parabolic induction, the construction produces a global C*-correspondence that captures adelic parabolic induction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Adelic C*-correspondences and parabolic induction Goffeng, Magnus Mesland, Bram Sengun, Mehmet Haluk Operator Algebras Representation Theory 22D25, 46L80, 22E50, 22E55 In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-modules and of C*-correspondences. The construction produces global C*-correspondences from compatible collections of local C*-correspondences. When applied to the collection of C*-correspondences capturing local parabolic induction, the construction produces a global C*-correspondence that captures adelic parabolic induction. |
| title | Adelic C*-correspondences and parabolic induction |
| topic | Operator Algebras Representation Theory 22D25, 46L80, 22E50, 22E55 |
| url | https://arxiv.org/abs/2412.02379 |