【摘 要】
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With Brian Forest(Waterloo)and Matthew Wiersma(Alberta),I investigated conditions for locally compact G characterizing when C*r(G).Using structure theory we
【机 构】
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UniversityofWaterloo,Canada
【出 处】
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算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni
论文部分内容阅读
With Brian Forest(Waterloo)and Matthew Wiersma(Alberta),I investigated conditions for locally compact G characterizing when C*r(G).Using structure theory we achieve this characterization for compactly generated G.In particular,if G is almost connected then C*r(G)must be amenable.Recently M.Kennedy and S.Raum gained a result which does not require compact generation,and generalizes ours.However,our result allows us to observe many instances where the space of traces is infinite dimensional.Moreover,we study the interplay of the property that C*r(G)admits a trace and other properties such as inneramenability and the QSIN condition.In passing,we show that inner amenable groups are not closed under extension.We also study when C* r(G)admits an amenable trace.
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