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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 10, 2017

Imprimitivity theorem for groupoid representations

  • Leszek Pysiak EMAIL logo
From the journal Demonstratio Mathematica

Abstract

We define and investigate the concept of the groupoid representation induced by a representation of the isotropy subgroupoid. Groupoids in question are locally compact transitive topological groupoids. We formulate and prove the imprimitivity theorem for such representations which is a generalization of the classical Mackey’s theorem known from the theory of group representations.

MSC 2010: 22A22; 22A30; 22D30

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Received: 2010-3-31
Published Online: 2017-5-10
Published in Print: 2011-3-1

© 2011 Leszek Pysiak, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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