Skip to main content
Article thumbnail
Location of Repository

Weakly almost periodic functionals on the measure algebra

By Matthew Daws

Abstract

It is shown that the collection of weakly almost periodic functionals on the convolution algebra of a commutative Hopf von Neumann algebra is a C ∗-algebra. This implies that the weakly almost periodic functionals on M(G), the measure algebra of a locally compact group G, is a C ∗-subalgebra of M(G) ∗ = C0(G) ∗ ∗. The proof builds upon a factorisation result, due to Young and Kaiser, for weakly compact module maps. The main technique is to adapt some of the theory of corepresentations to the setting of general reflexive Banach spaces. Subject classification: 43A10, 46L89 (Primary); 43A20, 43A60, 81R50 (Secondary).

Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.311.9903
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/0806.4973... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.