On the simplicial cohomology of Banach operator algebras

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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 languageEnglish
Pages (from-to)111-148
Number of pages38
JournalJournal of Functional Analysis
Volume261
Issue number1
DOIs
Publication statusPublished - 01 Jul 2011

ASJC Scopus subject areas

  • Analysis

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