Abstract
ABSTRACTUsing Herz-Schur multipliers of a -dynamical system, we introduce the weak Haagerup property of a -dynamical system and prove that it is equivalent to the weak Haagerup property of the associated -crossed product. On the other hand, we investigate an additional assumption under which the weak Haagerup property of the original -algebra and the group implies that of the associated -dynamical system. We also define and study the weak Haagerup property of a -dynamical system.
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