Acta Mathematica Sinica

, Volume 5, Issue 2, pp 165–169

Inner amenable groups and the inducedC*-algebra properties


  • Yuan Chuankuan
    • Department of Applied MathematicsTsing Hua University

DOI: 10.1007/BF02107669

Cite this article as:
Chuankuan, Y. Acta Mathematica Sinica (1989) 5: 165. doi:10.1007/BF02107669


A discrete group can generate aC*-algebra, denoted byCβ*(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 onCβ* (G) satisfying some certain conditions.

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© Springer-Verlag 1989