Isometric representations of totally ordered semigroups

Authors

M A. Aukhadiev, Kazan State Power Engineering University
V H. Tepoyan, Kazan State Power Engineering University

RIS ID

77353

Publication Details

Aukhadiev, M. A. & Tepoyan, V. H. (2012). Isometric representations of totally ordered semigroups. Lobachevskii Journal of Mathematics, 33 (3), 239-243.

Abstract

Let S be a subsemigroup of an abelian torsion-free group G. If S is a positive cone of G, then all C*-algebras generated by faithful isometrical non-unitary representations of S are canon- ically isomorphic. Proved by Murphy, this statement generalized the well-known theorems of Coburn and Douglas. In this note we prove the reverse.