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| **-Haagerup Property for C*-Algebras |
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Citation： |
C. J. Li,X. C. Fang.**-Haagerup Property for C*-Algebras[J].Chinese Annals of Mathematics B,2016,37(3):367~372 |
| Page view： 1427
Net amount： 1156 |
Authors： |
C. J. Li; X. C. Fang |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11371279) and the Shandong Provincial Natural Science Foundation of China (No.ZR2015PA010). |
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| Abstract： |
Extending the notion of Haagerup property for finite von Neumann
algebras to the general von Neumann algebras, the authors define and
study the $(**)$-Haagerup property for $C^{*}$-algebras in this
paper. They first give an answer to Suzuki's question (2013), and
then obtain several results of $(**)$-Haagerup property parallel to
those of Haagerup property for $C^{*}$-algebras. It is proved that a
nuclear unital $C^{*}$-algebra with a faithful tracial state always
has the $(**)$-Haagerup property. Some heredity results concerning
the $(**)$-Haagerup property are also proved. |
Keywords： |
$C^{*}$-algebras, Von Neumann algebras, Haagerup property |
Classification： |
46L05, 46L10 |
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