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A continuous Fourier algebra for a locally compact groupoid.

Laura Marti
(University of Waterloo)
Analyseseminar
Torsdag, 19 april, 2012, at 16:15-17:15, in Aud. D3 (1531-215)
Abstrakt:
If G is a groupoid, the Fourier and the Fourier-Stieltjes algebras of it
have been defined and studied by Ramsay and Walter (97), Renault (97) and
Paterson (04). If G is locally compact, we present a new definition of
the Fourier algebra A(G) and discuss the properties we will like this
algebra to verify.
If the groupoid is locally trivial and transitive, we use operator space
methods to prove that  A(G) is isometrically isomorphic to the Haagerup
tensor product of spaces of continuous functions on the unit space of G
and the Fourier algebra of the isotropy group of G at a fixed unit u.
Kontaktperson: Klaus Thomsen