On the simplicial cohomology of Banach operator algebras |
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| Authors: | A. Blanco |
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| Affiliation: | Department of Pure Mathematics, Queen?s University Belfast, Belfast BT7 1NN, UK |
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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. |
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| Keywords: | Banach algebra Banach space Bounded cohomology Properly infinite Simplicially trivial |
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