Continuous representations of groupoids
نویسنده
چکیده
We introduce unitary representations of continuous groupoid on continuous fields of Hilbert spaces. We investigate some properties of these objects and discuss some of the standard constructions from representation theory in this particular context. An important rôle is played by the regular representation. We conclude by discussing some operator algebra associated to continuous representations of groupoids; in particular, we analyse the relationship of continuous representations of G and continuous representations of the Banach ∗-category L̂(G). AMS subject classification: Primary: 22A30. Secondary: 46L08, 46L80.
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تاریخ انتشار 2006