About this Journal Submit a Manuscript Table of Contents
ISRN Algebra
Volume 2012 (2012), Article ID 782953, 8 pages
http://dx.doi.org/10.5402/2012/782953
Research Article

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.

Linked References

  1. M. V. Lawson, Inverse Semigroups, The Theory of Partial Symmetries, World Scientific, Singapore, 1998.
  2. J. Duncan and I. Namioka, “Amenability of inverse semigroups and their semigroup algebras,” Proceedings of the Royal Society of Edinburgh A, vol. 80, no. 3-4, pp. 309–321, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. R. J. Lindahl and P. H. Maserick, “Positive-definite functions on involution semigroups,” Duke Mathematical Journal, vol. 38, pp. 771–782, 1971. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. A. T. M. Lau, “The Fourier-Stieltjes algebra of a topological semigroup with involution,” Pacific Journal of Mathematics, vol. 77, no. 1, pp. 165–181, 1978. View at Zentralblatt MATH
  5. M. Amini and A. Medghalchi, “Restricted algebras on inverse semigroups. I. Representation theory,” Mathematische Nachrichten, vol. 279, no. 16, pp. 1739–1748, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. M. Amini and A. Medghalchi, “Restricted algebras on inverse semigroups—part II: positive definite functions,” International Journal of Mathematics and Mathematical Sciences, vol. 2011, Article ID 324821, 21 pages, 2011. View at Publisher · View at Google Scholar
  7. M. Shams Yousefi, M. Amini, and F. Sady, “Complete order amenability of the Fourier algebra,” Indian Journal of Pure and Applied Mathematics, vol. 41, no. 3, pp. 485–504, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. D. Milan, “C-algebras of inverse semigroups: amenability and weak containment,” Journal of Operator Theory, vol. 63, no. 2, pp. 317–332, 2010. View at Zentralblatt MATH
  9. P. Eymard, “L'algèbre de Fourier d'un groupe localement compact,” Bulletin de la Société Mathématique de France, vol. 92, pp. 181–236, 1964. View at Zentralblatt MATH
  10. N. Spronk, “Amenability properties of Fourier algebras and Fourier-Stieltjes algebras: a survey,” in Proceedings of the International Conference on Banach Algebras, Banach Center Publications, Będlewo, Poland, July 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. R. Exel, “Partial representations and amenable Fell bundles over free groups,” Pacific Journal of Mathematics, vol. 192, no. 1, pp. 39–63, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH