On homological properties for some modules of uniformly continuous functions over convolution algebras

Authors

  • R. Nasr-Isfahani

Keywords:

Amenability, flatness, injectivity, projectivity, Banach module, locally compact group

Abstract

For a locally compact group $G$, let $LUC(G)$ denote the space of all left uniformly continuous functions on $G$. Here, we characterize some homological properties of $LUC(G)$ and its dual space $LUC(G)^*$ as Banach left modules over the group algebra as well as the measure algebra of $G$.

Published

2011-10-19

Issue

Vol. 84 No. 2 (2011)

Section

Articles
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