Extending multipliers from semigroups

Authors

Marcelo Laca, University of Newcastle
Iain Raeburn, University of WollongongFollow

RIS ID

18745

Publication Details

Laca, M. & Raeburn, I. (1995). Extending multipliers from semigroups. Proceedings of the American Mathematical Society, 123 (2), 355-362.

Abstract

A multiplier on a normal subsemigroup of a group can be extended to a multiplier on the group. This is used to show that normal cancellative semigroups have the same second cohomology as the group they generate, generalising earlier results of Arveson, Chernoff, and Dinh. The main tool is a dilation theorem for isometric multiplier representations of semigroups.