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arXiv · 2410.10789

$L^p$-modules and $L^p$-correspondences

Alonso Delfín
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Abstract

We introduce an $L^p$-operator algebraic analogue of Hilbert C*- modules. We present the theory of concrete $L^p$-modules, their morphisms, and basic constructions including countable direct sums and tensor products. We then define $L^p$-correspondences and the interior tensor product of these.

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Alonso Delfín. 2024-10-14. $L^p$-modules and $L^p$-correspondences. https://doi.org/10.1007/s43037-025-00469-8

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