The Fourier algebra for locally compact groupoids
Operator Algebras
2007-05-23 v1 Functional Analysis
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.
Cite
@article{arxiv.math/0310115,
title = {The Fourier algebra for locally compact groupoids},
author = {Alan L. T. Paterson},
journal= {arXiv preprint arXiv:math/0310115},
year = {2007}
}
Comments
31 pages