A note on weak amenability of semigroup algebras

被引：0
作者：
Soroushmehr, Maedeh [1 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
SEMIGROUP FORUM | 2021年 / 102卷 / 02期
关键词：
n-weak amenability; Commutative semigroups; Regular semigroups; Maximally almost periodic semigroups; Prime ideals; Semigroup algebras; BANACH-ALGEBRAS; DERIVATIONS;
D O I：
10.1007/s00233-020-10143-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study weak amenability of certain classes of commutative semigroup algebras. First, we present a class of commutative semigroups which semigroup algebras (like arbitrary group algebras) are always 2n-weakly amenable. Weak amenability of l(1)(S) in terms of regular and irregular subsets of a commutative semigroup S is also studied.
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收藏
页码：543 / 552
页数：10
相关论文
共 26 条
  • [1] [Anonymous], 1961, Algebraic Theory of Semigroups
  • [2] BADE WG, 1987, P LOND MATH SOC, V55, P359
  • [3] Weak amenability of discrete semigroup algebras
    Blackmore, TD
    [J]. SEMIGROUP FORUM, 1997, 55 (02) : 196 - 205
  • [4] First order cohomology of Banach semigroup algebras
    Bowling, S
    Duncan, J
    [J]. SEMIGROUP FORUM, 1998, 56 (01) : 130 - 145
  • [5] Approximate and pseudo-amenability of various classes of Banach algebras
    Choi, Y.
    Ghahramani, F.
    Zhang, Y.
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (10) : 3158 - 3191
  • [6] Banach Algebras on Semigroups and on Their Compactifications
    Dales, H. G.
    Lau, A. T. -M.
    Strauss, D.
    [J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 205 (966) : 1 - +
  • [7] Dales H.G, 2007, 16 SEM MATH AN APPL, P18
  • [8] Dales H. G., 2000, LONDON MATH SOC MONO, V24
  • [9] Dales HG, 1998, STUD MATH, V128, P19
  • [10] WEAK AMENABILITY OF GROUP-ALGEBRAS OF LOCALLY COMPACT-GROUPS
    DESPIC, M
    GHAHRAMANI, F
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1994, 37 (02): : 165 - 167
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