【摘 要】
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In this talk we begin with twisted group algebras on a locally compact group with respect to a 2-cocycle.This algebra usually serves as the passage to const
【机 构】
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SeoulNationalUniversity,Korea
【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
In this talk we begin with twisted group algebras on a locally compact group with respect to a 2-cocycle.This algebra usually serves as the passage to constructing twisted(full and reduced)C*-algebras or twisted group von Neumann algebras.As the dual of twisted full group C*-algebra and the predual of the twisted group von Neumann algebras we can consider twisted Fourier space and Fourier-Stieltjes space.In operator algebra community twisted C*-algebras and group von Neumann algebras main concerns and have been studied extensively,we would like to focus on the other objects,namely twisted group algebra,Fourier space and Fourier-Stieltjes space.We will explain that the results of Ruan/Losert saying that ”If the Fourier-Stieltjes space and the(cb-)multiplier space of the Fourier algebra coincide,then the underlying group is amenable” still holds in twisted setting.We also explain that Pisiers characterization of amenability of group by the similarity degree being less than or equal to 2 still holds in twisted setting.
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