Invariant Means on CHART Groups


Department of Mathematics, The University of Auckland, Pr ivate Bag 92019, Auckland, New Zealand.


The purpose of this paper is to give a stream-lined proof of the existence and uniqueness of a right-invariant mean on a CHART group. A CHART group is a slight generalisation of a compact topological group. The existence of an invariant mean on a CHART group can be used to prove Furstenberg's fixed point theorem.


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