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THE COHOMOLOGY COMPARISON PROBLEM FOR BANACH ALGEBRAS

Published online by Cambridge University Press:  01 June 1997

MICHEL SOLOVEJ
MICHEL SOLOVEJ
Affiliation:
Treasury Department, Unibank AS, DK-1786 V, Denmark. E-mail: riskman@centrum.dk
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Abstract

For a large class of Banach algebras we solve the Cohomology Comparison Problem for the second cohomology groups, in that we prove that for all amenable strongly regular Banach function algebras A and all Banach A-bimodules E the second comparison map between continuous and algebraic cohomology is an embedding. Accepting the continuum hypothesis we show that for algebras of this kind there exist Banach A-bimodules E such that i2 is not onto.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 499 - 514
Copyright
The London Mathematical Society 1997

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