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ON CHARACTER PSEUDO - AMENABLE SEMIGROUP ALGEBRAS

O. T. Mewomo|A. A. Mebawondu|U. O. Adiele|P. O. Olanipekun
장전수학회 (Jangjeon Mathematical Society)|2017.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제20권 제4호|pp. 583-593|DOI 10.17777/pjms.2017.20.4.005

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characterSemigroupSemigroup algebraBanach alge- braleft character pseudo - amenableright character pseudo - amenablecharacter pseudo - amenable
주제분류수학

초록

We study the character pseudo - amenability of semigroup algebras. We focus on certain semigroups such as inverse semigroup with uniformly locally finite idempotent set and Brandt semigroup and study the character pseudo - amenability of semigroup algebra l1(S) in relation to the semigroup S: In particular, we show that for a unital cancellative semigroup S; the character pseudo-amenability of l1(S) is equivalent to its amenability, this is in turn equivalent to S being an amenable group.

Abstract

We study the character pseudo - amenability of semigroup algebras. We focus on certain semigroups such as inverse semigroup with uniformly locally finite idempotent set and Brandt semigroup and study the character pseudo - amenability of semigroup algebra l1(S) in relation to the semigroup S: In particular, we show that for a unital cancellative semigroup S; the character pseudo-amenability of l1(S) is equivalent to its amenability, this is in turn equivalent to S being an amenable group.

참고문헌 (26)

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