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Extending multipliers from semigroups

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posted on 2024-11-14, 03:59 authored by Marcelo 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.

Journal title

Proceedings of the American Mathematical Society

Volume

123

Issue

2

Pagination

355-362

Language

English

RIS ID

18745

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