posted on 2024-11-14, 03:59authored byMarcelo Laca, Iain Raeburn
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.
History
Citation
Laca, M. & Raeburn, I. (1995). Extending multipliers from semigroups. Proceedings of the American Mathematical Society, 123 (2), 355-362.