English

Imprimitivity theorem for groupoid representations

Representation Theory 2010-08-13 v1

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.

Keywords

Cite

@article{arxiv.1008.2084,
  title  = {Imprimitivity theorem for groupoid representations},
  author = {Leszek Pysiak},
  journal= {arXiv preprint arXiv:1008.2084},
  year   = {2010}
}
R2 v1 2026-06-21T15:59:54.493Z