SYMMETRIC MODULE AND CONNES AMENABILITY
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_SCMA-5-1_004
تاریخ نمایه سازی: 12 تیر 1396
Abstract:
In this paper we introduce two symmetric variants ofamenability, symmetric module amenability and symmetric Connesamenability. We determine symmetric module amenability andsymmetric Connes amenability of some concrete Banach algebras.Indeed, it is shown that ℓ1(S) is a symmetric ℓ1(E)-module amenableif and only if S is amenable, where S is an inverse semigroup withsubsemigroup E(S) of idempotents. In symmetric connes amenability, we have proved that M(G) is symmetric connes amenable if andonly if G is amenable.
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Authors
MOHAMMAD HOSSEIN SATTARI
Department of Mathematics, Faculty of Science, Azarbaijan ShahidMadani University, P.O.Box ۵۳۷۵۱-۷۱۳۷۹, Tabriz, Iran.
HAMID SHAFIEASL
Department of Mathematics, Faculty of Science, Azarbaijan ShahidMadani University, P.O.Box ۵۳۷۵۱-۷۱۳۷۹, Tabriz, Iran.