Parabolic induction, categories of representations and operator spaces

Tyrone Crisp, Nigel Higson

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations


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).

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages23
StatePublished - 2016

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

All Science Journal Classification (ASJC) codes

  • General Mathematics


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