Self-induced Banach algebras
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
A Banach algebra A is self-induced if the multiplication is an isomorphism from the A-balanced projective tensor-square of A to A. The class of self-induced Banach algebras is a natural generalization of unital Banach algebras, providing a fertile framework for developing homological aspects of unital Banach algebras. Elementary results with applictions to computations of the bounded Hochschild cohomology groups H^1(A,A^*) with emphasis on A=A(X), the approximable operators on a Banach space X, are given.
Cite
@article{arxiv.math/0311528,
title = {Self-induced Banach algebras},
author = {Niels Grønbæk},
journal= {arXiv preprint arXiv:math/0311528},
year = {2007}
}
Comments
14 pages, submitted to conference proceedings