New dynamical characterization of countable amenable groups   

报告专家:张国华(复旦大学)

报告时间:2023年10月31日上午10:00

报告地点:西南中心505

报告摘要:Since von Neumann studied the well-known Banach-Tarski paradox in 1929, till now there are many characterizations for amenable groups. In this talk I will report a new characterization of countable amenable groups from the viewpoint of dynamical system. Namely we introduce a new concept called multiorder, and prove that a countable group G is amenable if and only if there exists a multiorder on G. I will also discuss briefly some applications of this new characterization. The talk is based on joint works with Downarowicz, Huczek, Oprocha and Wiecek.

邀请人:连增

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