شماره ركورد كنفرانس :
3502
عنوان مقاله :
Connes amenability of dual Banach algebras
Author/Authors :
S Javadi Semnan University , A Ghaffari School of Mathematics - Semnan University
كليدواژه :
Banach algebras , Connes amenability , derivation , dual Banach algebra , virtual diagonal , weak*- weak* continuous
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Generalizing the notion of character amenability for Banach algebras, we study the concept of
φ-Connes amenability of a dual Banach algebra A with predual A*, where φ is a homomorphism from A
onto C that lies in A*. Several characterizations of φ-Connes amenability are given. We also prove that the
following are equivalent for a unital, weakly cancellative semigroup algebra l1(S):
(i) S is χ-amenable.
(ii) l1(S) is ^χ-Connes amenable.
(iii) l1(S) has a ^χ-normal, virtual diagonal
