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数统华章2026系列17 Remarks on Villadsen algebras

来源: 发布时间: 2026-05-12 点击量:
  • 讲座人: 李春光 副教授
  • 讲座日期: 2026-5-15(周五)
  • 讲座时间: 15:30
  • 地点: 文津楼1224

报告人简介:

李春光,东北师范大学副教授,2012年博士毕业于吉林大学。主要从事算子理论与算子代数方面问题研究,在Trans. Amer. Math. Soc., J. Funct. Anal., J. Noncommut. Geom.等杂志发表多篇文章。

报告简介:

Villadsen algebras of the first type were constructed in 1998 as examples of simple unital C*-algebras which have perforation in their ordered K_0 group. This class of C*-algebras lies outsidethe scope of the current classification theorem, as Villadsen algebras do not absorb the Jiang-Su algebra Z tensorially. We shall show that such algebras can be classified by the K_0 group together with the radius of comparison. Also, we shall show that such algebras are singly generated. These works are joint with Elliott, Niu and Ruzicka.

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