Goffeng, M., Mesland, B. and Sengun, M. orcid.org/0000-0002-6210-6877 (Submitted: 2024) Adelic C*-correspondences and parabolic induction. [Preprint - arXiv] (Submitted)
Abstract
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.
Metadata
Item Type: | Preprint |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 The Author(s). This preprint is made available under a Creative Commons Attribution 4.0 International License. (https://creativecommons.org/licenses/by/4.0/) |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 11 Dec 2024 16:19 |
Last Modified: | 11 Dec 2024 16:19 |
Status: | Submitted |
Identification Number: | 10.48550/arXiv.2412.02379 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:220446 |