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- W4300797119 abstract "In the context of operator-space modules over C*-algebras, we give a complete characterisation of those C*-correspondences whose associated Haagerup tensor product functors admit left adjoints. The characterisation, which builds on previous joint work with N. Higson, exhibits a close connection between the notions of adjoint operators and adjoint functors. As an application, we prove a Frobenius reciprocity theorem for representations of locally compact groups on operator spaces: the functor of unitary induction for a closed subgroup H of a locally compact group G admits a left adjoint in this setting if and only if H is cocompact in G. The adjoint functor is given by Haagerup tensor product with the operator-theoretic adjoint of Rieffel's induction bimodule." @default.
- W4300797119 created "2022-10-04" @default.
- W4300797119 creator A5035981931 @default.
- W4300797119 date "2016-05-19" @default.
- W4300797119 modified "2023-09-25" @default.
- W4300797119 title "Frobenius reciprocity and the Haagerup tensor product" @default.
- W4300797119 doi "https://doi.org/10.48550/arxiv.1605.06023" @default.
- W4300797119 hasPublicationYear "2016" @default.
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