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发表时间:2019-12-06 阅读次数:111次
报告题目: Some permanence for large subalgebras of a C*-algebra
报 告 人:方小春 教授
报告人所在单位:同济大学
报告日期:2019-12-06 星期五
报告时间:10:00-11:00
报告地点:光华东楼2001
  
报告摘要:

Large subalgebra was firstly introduced by Phillips as an abstraction of Putnam subalgebra, which played a critical role on the structure of the C*-algebra of minimal dynamical systems. Then Archey and Phillips gave a stronger concept which is called centrally large subalgebra. An interesting general question consists of considering which properties of (centrally) large subalgebra could be used to deduce properties of the original algebra?

Let $A$ be an infinite dimensional simple unital C*-algebra and let $B$ be a (centrally) large subalgebra of $A$. In this talk, we first show that $A$ has real rank zero if $B$ has real rank zero, without the condition that $B$ has stable rank one. Then we show the permanence about some comparison properties for large subalgebras of a C*-algebra. Last, we give a definition of generalized tracial approximation C*-algebras which generalized the definitions of tracial approximation C*-algebras and large subalgebra.

 

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本年度学院报告总序号:268

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