The Fourier algebra for locally compact groupoids

Details The Fourier algebra for locally compact groupoids The Fourier algebra for locally compact groupoids

2003-10-08

arxiv.org/abs/math/0310115v1

Mathematics

Operator Algebras

31 pages

Scientific paper

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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