On the simplicial cohomology of Banach operator algebras

Ariel Blanco

doi:10.1016/j.jfa.2011.01.020

On the simplicial cohomology of Banach operator algebras

Ariel Blanco

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Abstract

We investigate the simplicial cohomology of certain Banach operator algebras. The two main examples considered are the Banach algebra of all bounded operators on a Banach space and its ideal of approximable operators. Sufficient conditions will be given forcing Banach algebras of this kind to be simplicially trivial.

Original language	English
Pages (from-to)	111-148
Number of pages	38
Journal	Journal of Functional Analysis
Volume	261
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2011.01.020
Publication status	Published - 01 Jul 2011

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2011.01.020

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DO - 10.1016/j.jfa.2011.01.020

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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On the simplicial cohomology of Banach operator algebras

Abstract

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