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.
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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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Li, C., Fang, X. The (**)-Haagerup property for C*-algebras. Chin. Ann. Math. Ser. B 37, 367–372 (2016). https://doi.org/10.1007/s11401-016-0958-4
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DOI: https://doi.org/10.1007/s11401-016-0958-4