| Property T＊＊ for C＊-algebras |
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| 作者姓名： | Dan LI |
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| 作者单位： | Chern Institute of Mathematics, Nankai University, Tianjin 300071, P. R. China |
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| 基金项目： | Acknowledgements The author would like to thank her PhD advisor Chi-Keung Ng for some advices and for giving the ideas of some results in this article. |
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| 摘 要： | Extending the notion of property T of finite von Neumann algebras to general von Neumann algebras, we define and study in this paper property T** for (possibly non-unital) C* -algebras. We obtain several results of property T** parallel to those of property T for unital C* -algebras. Moreover, we show that a discrete group Γ has property T if and only if the group C* -algebra Cr* (Γ) (or equivalently, the reduced group C* -algebra Cr* (Γ)) has property T**. We also show that the compact operators K(l2 ) has property T** but c0 does not have property T**.
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| 关 键 词： | Neumann代数 物业 单位元 运营商 紧凑型 财产 |
Property T** for C*-algebras |
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| Dan LI.Property T** for C*-algebras[J].Acta Mathematica Sinica,2012,28(9):1845-1850. |
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| Authors: | Dan Li |
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| Institution: | 1. Chern Institute of Mathematics, Nankai University, Tianjin, 300071, P. R. China
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| Abstract: | Extending the notion of property T of finite von Neumann algebras to general von Neumann algebras, we define and study in this paper property T** for (possibly non-unital) C*-algebras. We obtain several results of property T** parallel to those of property T for unital C*-algebras. Moreover, we show that a discrete group Γ has property T if and only if the group C*-algebra C*(Γ) (or equivalently, the reduced group C*-algebra C r * (Γ)) has property T**. We also show that the compact operators K(? 2) has property T** but c 0 does not have property T**. |
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| Keywords: | Property T＊＊ C＊-algebras Hilbert bimodules |
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