Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-24T03:08:32.108Z Has data issue: false hasContentIssue false

SIMPLICIAL HOMOLOGY AND HOCHSCHILD COHOMOLOGY OF BANACH SEMILATTICE ALGEBRAS

Published online by Cambridge University Press:  23 August 2006

YEMON CHOI
Affiliation:
School of Mathematics and Statistics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, England e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The $\ell^{1}$-convolution algebra of a semilattice is known to have trivial cohomology in degrees 1, 2 and 3 whenever the coefficient bimodule is symmetric. We extend this result to all cohomology groups of degree $\geq 1$ with symmetric coefficients. Our techniques prove a stronger splitting result, namely that the splitting can be made natural with respect to the underlying semilattice.

Type
Research Article
Copyright
2006 Glasgow Mathematical Journal Trust

Footnotes

Uses Paul Taylor's diagrams.sty macros.