Extending multipliers from semigroups

Citation data:

Page: 355-362

Publication Year:
1995
Usage 39
Downloads 36
Abstract Views 3
Repository URL:
https://ro.uow.edu.au/eispapers/2692
Author(s):
Laca, Marcelo; Raeburn, Iain
Tags:
extending; semigroups; multipliers; Engineering; Science and Technology Studies
article description
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.