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发表时间:2017-06-14 阅读次数:70次
报告题目: Dimension, comparison, and almost finiteness
报 告 人:Prof. David Kerr
报告人所在单位:
报告日期:2017-06-14 星期三
报告时间:15:00-16:00
报告地点:Texas A&M University
  
报告摘要:

I will explain how one can develop a dynamical version of some of the theory surrounding the Toms-Winter conjecture for simple separable nuclear C*-algebras. In particular, I will introduce a notion of almost finiteness for group actions on compact spaces as an analogue of both hyperfiniteness in the measure-preserving setting and of $\mathcal{Z}$-stability in the C*-algebra setting. This generalizes Matui's concept of the same name from the zero-dimensional context and is related todynamical comparison in the same way that $\mathcal{Z}$-stability is related to strict comparison in the Toms-Winter context. For free minimal actions of countably infinite groups on compact metrizable spaces the property of almost finiteness implies that the crossed product is $\mathcal{Z}$-stable, which leads to new examples of classifiable crossed products.  

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本年度学院报告总序号:138

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