APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS

doi:10.1016/S0252-9602(13)60020-X

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 565-577.doi: 10.1016/S0252-9602(13)60020-X

APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS

Mehdi ROSTAMI, Abdolrasoul POURABBAS, Morteza ESSMAILI

Faculty of Mathematical and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, 15914 Tehran, Iran|Faculty of Mathematical and Computer Science, Kharazmi University, 50 Taleghani Avenue, 15618 Tehran, Iran

收稿日期:2011-10-14 修回日期:2012-05-13 出版日期:2013-03-20 发布日期:2013-03-20

APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS

Mehdi ROSTAMI, Abdolrasoul POURABBAS, Morteza ESSMAILI

Faculty of Mathematical and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, 15914 Tehran, Iran|Faculty of Mathematical and Computer Science, Kharazmi University, 50 Taleghani Avenue, 15618 Tehran, Iran

Received:2011-10-14 Revised:2012-05-13 Online:2013-03-20 Published:2013-03-20

摘要/Abstract

摘要：

In this article, the approximate amenability of semigroup algebra ?1(S) is in-vestigated, where S is a uniformly locally finite inverse semigroup. Indeed, we show that for a uniformly locally finite inverse semigroup S, the notions of amenability, approximate amenability and bounded approximate amenability of ?1(S) are equivalent. We use this to give a direct proof of the approximate amenability of ?1(S) for a Brandt semigroup S. More-over, we characterize the approximate amenability of ?1(S), where S is a uniformly locally finite band semigroup.

关键词: Approximate amenability, semigroup algebras, uniformly locally finite inverse semigroup, Brandt semigroup

Abstract:

Key words: Approximate amenability, semigroup algebras, uniformly locally finite inverse semigroup, Brandt semigroup

中图分类号:

43A20

Mehdi ROSTAMI, Abdolrasoul POURABBAS, Morteza ESSMAILI. APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS[J]. 数学物理学报(英文版), 2013, 33(2): 565-577.

Mehdi ROSTAMI, Abdolrasoul POURABBAS, Morteza ESSMAILI. APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS[J]. Acta mathematica scientia,Series B, 2013, 33(2): 565-577.

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APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS

APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS

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