A note on the automorphism groups of simple dimension groups

Chao-Liang Shen

Vol. 89 (1980), No. 1, 199–207

DOI: 10.2140/pjm.1980.89.199

Abstract

We study the automorphism of simple dimension groups with underlying group Z² (which are of the form (Z²,P_α), α a positive irrational) and find out the necessary and sufficient condition for the dimension group (Z²,P_α) having nontrivial automorphisms is α being a quadratic surd. In this case we also obtain the classification of the automorphism via the Bratteli diagram of the dimension groups.

Mathematical Subject Classification 2000

Primary: 46L35

Milestones

Received: 25 May 1979

Published: 1 July 1980