Title of article :
Derivations on the tensor product of Banach algebras
Author/Authors :
Minapoor, A Central Tehran Branch - Islamic Azad University , Bodaghi, A Islamshar Branch - Islamic Azad University , Ebrahimi Bagha, D Central Tehran Branch - Islamic Azad University
Abstract :
In this paper,we study derivations on the (projective) tensor product of Banach algebras. Among other things ,we show that under some mild cnditions when the first cohomology group of A⊗B with coefficients in (A⊗J)∗is zero,then B
is J-weakly amenable ,where Jisaclosed two- sided ideal in B.Also,we provide some concrete examples in which A⊗B is ideally amenable
Keywords :
Amenability , Ideal amenability , Weak amenability
Journal title :
Astroparticle Physics
