Geodesic
The Fourier Algebra for Locally Compact Groupoids
Canadian journal of mathematics, Tome 56 (2004) no. 6, pp. 1259-1289

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2004-055-8
Mots-clés : 43A32, Fourier algebra, locally compact groupoids, Hilbert modules, positive definite functions, completely bounded maps 
Paterson, Alan L. T. The Fourier Algebra for Locally Compact Groupoids. Canadian journal of mathematics, Tome 56 (2004) no. 6, pp. 1259-1289. doi: 10.4153/CJM-2004-055-8
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