Amenable groups for which every topological left invariant mean is invariant

Alan L. T. Paterson

Vol. 84 (1979), No. 2, 391–397

DOI: 10.2140/pjm.1979.84.391

Abstract

Let G be an amenable locally compact group. It is conjectured that every topological left invariant mean on L_∞(G) is (topologically) invariant if and only if G ∈ [FC]⁻. This conjecture is shown to be true when G is discrete and when G is compactly generated.

Mathematical Subject Classification 2000

Primary: 43A07

Milestones

Received: 6 November 1978

Published: 1 October 1979