Acta Mathematica Sinica

, Volume 5, Issue 2, pp 165-169

First online:

Inner amenable groups and the inducedC *-algebra properties

  • Yuan ChuankuanAffiliated withDepartment of Applied Mathematics, Tsing Hua University

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A discrete group can generate aC *-algebra, denoted byC β *(G), by considering the so called conjugation regular representationβ of the groupG. Based on this treatment, the inner amenability ofG shall be characterized by the existence of the states onC β * (G) satisfying some certain conditions.