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arXiv · 2412.02379

Adelic C*-correspondences and parabolic induction

Magnus Goffeng·Bram Mesland·Mehmet Haluk Sengun
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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.

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Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun. 2024-12-03. Adelic C*-correspondences and parabolic induction. https://arxiv.org/abs/2412.02379

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