arXiv:1506.09111 Abstract | arXiv Analytics

arXiv:1506.09111 [math.RT]Abstract References Reviews Resources

Parabolic induction, categories of representations and operator spaces

Published 2015-06-30Version 1

We study some aspects of the functor of parabolic induction within the context of reduced group C*-algebras and related operator algebras. We explain how Frobenius reciprocity fits naturally within the context of operator modules, and examine the prospects for an operator algebraic formulation of Bernstein's reciprocity theorem (his second adjoint theorem).

Comments: 28 pages

Categories: math.RT, math.OA

Subjects: 22E45, 46L07, 46H15

Keywords: parabolic induction, operator spaces, categories, representations, second adjoint theorem

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