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发表时间:2018-07-20 阅读次数:231次
报告题目: The fixed-point property for actions on cones and invariant traces on C*-algebras
报 告 人:Prof. Mikael Rordam
报告人所在单位:University of Copenhagen
报告日期:2018-07-20 星期五
报告时间:11:00-12:00
报告地点:光华东主楼2201
  
报告摘要:
Nicolas Monod has in a recent paper introduced a new class of groups with the fixed-point property for cones, characterized by always admitting a non-trivial fixed-point whenever they act on cones (under some additional hypothesis). He showed that this class contains all groups of sub-exponential growth and is contained in the class of supramenable groups. It is not known if these three classes are distinct! He proved a number of equivalent conditions for a group to have the fixed-point property for cones, and he established a list of permanence properties for this class of groups.
 
Monod’s results can be used to prove existence of invariant traces on non-unital C*-algebras equipped with an action of a group. The purpose of the talk will be to explain some of Monod’s results and their applications to C*-algebras with particular emphasis on existence (and non-existence) of traces on the Roe algebra.
 
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本年度学院报告总序号:191

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