On partial actions and groupoids

Abadie, Fernando

doi:10.1090/S0002-9939-03-07300-3

On partial actions and groupoids
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by Fernando Abadie PDF

Proc. Amer. Math. Soc. 132 (2004), 1037-1047 Request permission

Abstract:

We prove that, as in the case of global actions, any partial action gives rise to a groupoid provided with a Haar system, whose $C^*$-algebra agrees with the crossed product by the partial action.

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