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【学术报告】2021年7月31日张国华教授举办学术讲座

作者: 时间:2021-07-28 点击量:


报告人:张国华(复旦大学)

邀请人:   王保伟

报告时间:2021年7月31日(星期六)16:30-17:30

报告地点:科技楼(南楼)602室

报告题目:Comparison property for amenable group actions

报告摘要:Let a countable discrete group G act on a zero dimensional compact metric space X. We say that the action admits comparison if for any clopen sets A and B, the condition, that for every G-invariant measure m on X we have that the sharp inequality m(A)<m(B), implies that A is subequivalent to B, that is, there exists a finite clopen partition A_1,.., A_k for A, and elements g_1,..., g_k in G such that g_1(A_1),..., g_k(A_k) are disjoint clopen subsets of B. We prove this property for actions of groups whose every finitely generated subgroup has subexponential growth. This is a joint work with Professor Tomasz Downarowicz.




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