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Solution to Farhadi-Ghahramani's multiplier problem


Author: Matthias Neufang
Journal: Proc. Amer. Math. Soc. 138 (2010), 553-555
MSC (2000): Primary 43A20, 43A22
DOI: https://doi.org/10.1090/S0002-9939-09-09778-0
Published electronically: October 14, 2009
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Abstract: We answer, in the negative, the main question raised by H. Farhadi and F. Ghahramani in their article Involutions on the second duals of group algebras and a multiplier problem, Proc. Edinburgh Math. Soc. (2) 50 (2007), no. 1, 153-161.


References [Enhancements On Off] (What's this?)

  • 1. H.G. Dales, A.T.-M. Lau and D. Strauss, Banach algebras on semigroups and on their compactifications, to appear in: Memoirs of the American Mathematical Society, http://www.amsta.leeds.ac.uk/ $ \mathsf{\tilde{}}$ pmt6hgd/preprints/AMSseconddualsfinal1.pdf.
  • 2. J. Duncan and S.A.R. Hosseiniun, The second dual of a Banach algebra, Proc. Roy. Soc. Edinburgh Sect. A 84 (1979), no. 3-4, 309-325. MR 559675 (81f:46057)
  • 3. H. Farhadi and F. Ghahramani, Involutions on the second duals of group algebras and a multiplier problem, Proc. Edinburgh Math. Soc. (2) 50 (2007), no. 1, 153-161. MR 2294009 (2008b:43004)
  • 4. M. Grosser, Algebra involutions on the bidual of a Banach algebra, Manuscripta Math. 48 (1984), no. 1-3, 291-295. MR 753735 (85k:46058)
  • 5. N. Hindman and D. Strauss, Algebra in the Stone-Čech Compactification. Theory and Applications, de Gruyter Expositions in Mathematics 27, Walter de Gruyter & Co., Berlin, 1998. MR 1642231 (99j:54001)
  • 6. A.S. Kechris, On the classification problem for rank $ 2$ torsion-free abelian groups, J. London Math. Soc. (2) 62 (2000), 437-450. MR 1783636 (2002h:20078)
  • 7. A.T.M. Lau and V. Losert, On the second conjugate algebra of $ L_1(G)$ of a locally compact group, J. London Math. Soc. (2) 37 (1988), 464-470. MR 939122 (89e:43007)
  • 8. M. Neufang, On a conjecture by Ghahramani-Lau and related problems concerning topological centres, J. Funct. Anal. 224 (2005), no. 1, 217-229. MR 2139110 (2006b:46063)
  • 9. A. Yu. Ol'shanskiĭ, On residualing homomorphisms and $ G$-subgroups of hyperbolic groups, Internat. J. Algebra Comput. 3 (1993), no. 4, 365-409. MR 1250244 (94i:20069)

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Additional Information

Matthias Neufang
Affiliation: School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6, Canada
Email: mneufang@math.carleton.ca

DOI: https://doi.org/10.1090/S0002-9939-09-09778-0
Keywords: Arens products, group algebras, Stone-\v{C}ech compactification, module homomorphisms, topological centres.
Received by editor(s): February 11, 2008
Published electronically: October 14, 2009
Additional Notes: The author was partially supported by NSERC. This support is gratefully acknowledged.
Communicated by: Marius Junge
Article copyright: © Copyright 2009 American Mathematical Society

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