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Imprimitivity theorem for groupoid representations

Pysiak L.

Demonstratio Mathematica

2011

Vol. 44, nr 1

29-48

We define and investigate the concept of the groupoid representation in- duced 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.