Imprimitivity theorem for groupoid representations

Mathematics – Representation Theory

Scientific paper

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Scientific paper

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.

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