The Fourier algebra for locally compact groupoids

Alan L. T. Paterson

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arXiv · math/0310115

The Fourier algebra for locally compact groupoids

Alan L. T. Paterson

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Abstract

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.

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BibTeX RIS

Alan L. T. Paterson. 2003-10-08. The Fourier algebra for locally compact groupoids. https://arxiv.org/abs/math/0310115

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