scholarly journals A duality theorem for locally compact groups

1967 ◽  
Vol 6 (2) ◽  
pp. 187-293 ◽  
Author(s):  
Nobuhiko Tatsuuma
2004 ◽  
Vol 56 (6) ◽  
pp. 1259-1289 ◽  
Author(s):  
Alan L. T. Paterson

AbstractWe 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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