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On n-weak amenability of Rees semigroup algebras

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Abstract

Let S be a Rees matrix semigroup. We show that l 1(S) is (2k + 1)-weakly amenable for k ∈ ℤ+.

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References

  1. Arens R, The adjoint of a bilinear operation, Proc. Am. Math. Soc. 2 (1951) 839–848

    Article  MATH  MathSciNet  Google Scholar 

  2. Blackmore T D, Weak amenability of discrete semigroup algebras, Semigroup Forum 55 (1997) 196–205.

    Article  MATH  MathSciNet  Google Scholar 

  3. Dales H G, Banach algebras and automatic continuity, London Mathematical Society Monographs, New Series, Volume 24 (Oxford: The Clarendon Press) (2000)

    Google Scholar 

  4. Dales H G, Ghahramani F and Gronbaek N, Derivations into iterated duals of Banach algebras, Studia Math. 128 (1998) 19–54

    MATH  MathSciNet  Google Scholar 

  5. Dales H G, Lau A T-M and Strauss D, Banach algebras on semigroups and their compactifications, Memoirs Am. Math. Soc. (to appear)

  6. Esslamzadeh G H, Banach algebra structure and amenability of a class of matrix algebras with applications, J. Funct. Anal. 161 (1999) 364–383

    Article  MATH  MathSciNet  Google Scholar 

  7. Howie J M, Fundamentals of semigroup theory, London Math. Society Monographs, Volume 12 (Oxford: Clarendon Press) (1995)

    Google Scholar 

  8. Johnson B E, Cohomology in Banach algebras, Memoirs Am. Math. Soc. 127 (1972) 1–96

    Google Scholar 

  9. Johnson B E, Weak amenability of group algebras, Bull. London Math. Soc. 23 (1991) 281–284

    Article  MATH  MathSciNet  Google Scholar 

  10. Johnson B E, Permanent weak amenability of group algebras of free groups, Bull. London Math. Soc. 31 (1999) 569–573

    Article  MATH  MathSciNet  Google Scholar 

  11. Zhang Y, Weak amenability of module extensions of Banach algebras, Trans. Am. Math. Soc. 354 (2002) 4131–4151

    Article  MATH  Google Scholar 

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Correspondence to O. T. Mewomo.

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Mewomo, O.T. On n-weak amenability of Rees semigroup algebras. Proc Math Sci 118, 547–555 (2008). https://doi.org/10.1007/s12044-008-0042-4

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  • DOI: https://doi.org/10.1007/s12044-008-0042-4

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