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ISRN Algebra
Volume 2012 (2012), Article ID 782953, 8 pages
doi:10.5402/2012/782953
Amenability of the Restricted Fourier Algebras
1Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University,
Tehran 14115-134, Iran
2Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht 1841, Iran
Received 7 March 2012; Accepted 2 May 2012
Academic Editors: V. K. Dobrev, K. Fujii, M. Ladra, and M. Przybylska
Copyright © 2012 Massoud Amini and Marzieh Shams Yousefi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We discuss amenability of the restricted Fourier-Stieltjes algebras on inverse semigroups. We show that, for an E-unitary inverse semigroup, amenability of the restricted Fourier-Stieltjes algebra is related to the amenability of an associated Banach algebra on a Fell bundle.