Banach Algebra on L^P-Space and Finite Dimensional Invariant Subspace with Property T of Group Homeomorphism

Abstract

The Leavitt path algebras and simplicity of lie algebras associated to Leavitt algebras are considered. We give the crossed products of l^p-operator algebras, the k-theory of Cuntz algebras generated on l^p- spaces. The character amenability, ∅-amenability, character pseudo- amenability for a class of Banach algebras are characterized with finite-dimensional invariant subspace property for algebras of linear operators . The property (T) for C^*-algebras ,pairs of topological groups , unital C^*-algebras and of group homomorphism’s are studied and also with property (T_(l^p )).