Simplicial cohomology of totally ordered semigroup algebras

It is known that some discrete semigroup algebras have trivial continuous simplicial cohomology, at least in high dimensions. The aim of this work is to investigate the situation for the locally compact case, which even for the important example of the positive real numbers is not clear.

Bibliographic Details
Main Author: Elliott, David Peter
Published: University of Newcastle Upon Tyne 2012
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.567068
Description
Summary:It is known that some discrete semigroup algebras have trivial continuous simplicial cohomology, at least in high dimensions. The aim of this work is to investigate the situation for the locally compact case, which even for the important example of the positive real numbers is not clear.