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The Fourier Algebra for Locally Compact Groupoids

Published online by Cambridge University Press:  20 November 2018

Alan L. T. Paterson*
Affiliation:
Department of Mathematics, University of Mississippi, University, MS 38677, U.S.A. e-mail: [email protected]
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Abstract

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We introduce and investigate using Hilbert modules the properties of the Fourier algebra$A(G)$ for a locally compact groupoid $G$. We establish a duality theorem for such groupoids in terms of multiplicative module maps. This includes as a special case the classical duality theorem for locally compact groups proved by P. Eymard.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2004

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