Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-28T03:52:21.872Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)