报告题目：The K-amenability and higher index map for metric spaces with proper group actions

报 告 人：付本银副教授（上海立信会计金融学院）

报告时间：2021年11月24日 10:00-11:00

报告地点：腾讯会议 ID：620 823 778

主办单位：威廉希尔中文网站

报告摘要：I will talk about the K-amenability and the equivariant higher index map for the metric space with proper and isometrical group actions. More precisely, Let $\Gamma$ be a countable discrete amenable group, which acts properly and isometrically on a discrete metric space $X$ with bounded geometry. If the quotient space $X/\Gamma$ admits a coarse embedding into Hilbert space and the $\Gamma$-orbits in $X$ are uniformly equivariantly coarsely equivalent to each other, then the equivariant coarse Baum--Connes conjecture holds for $(X, \Gamma)$. Along the way, we prove a $K$-theoretic amenability statement for the $\Gamma$-space $X$ with the same assumptions as above, i.e. the canonical quotient map from the maximal equivariant Roe algebra of $X$ to the reduced equivariant Roe algebra of $X$ induces an isomorphism on $K$-theory. This is joint work with Deng Jintao and Wang Qin.

  报告人简介：付本银，上海立信会计金融学院副教授，研究方向为非交换几何，在Communications in Mathematical Physics, Journal of Functional Analysis, 中国科学等国内外重要期刊发表多篇学术论文，主持完成国家自然科学基金青年项目一项，目前正主持国家自然科学基金面上项目一项。