 ##  [Mackey Imprimitivity Theorem](/mackey-imprimitivity-theorem) 

  ##  [Mackey Imprimitivity Theorem](https://puremath.quantumdictionary.io/mackey-imprimitivity-theorem-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A structure theorem in representation theory of locally compact groups that characterizes unitary representations induced from a closed subgroup in terms of systems of imprimitivity (projection-valued measures) on the homogeneous space and yields an equivalence between certain categories of representations; it relates induced representations to covariant representations of C*-dynamical systems ari