【校庆学术报告】Hausdorffified algebraic K1-groups and invariants for C*-algebras with the ideal property

Guihua Gong 龚贵华  (University of Puerto Rico, USA)

10:00-11:00, September 20, 2022   Tencent Meeting ID: 963 528 789

Abstract:

A C*-algebra A is said to have the ideal property if each closed two-sided ideal of A is generated as a closed two-sided ideal by the projections inside the ideal. C*-algebras with the ideal property are a generalization and unification of real rank zero C*-algebras and unital simple C*-algebras. We show that a certain new algebraic K1-invariant becomes the complete invariant for AH algebras (of no dimension growth) with the ideal property.

About the speaker:

龚贵华教授是国际著名算子代数与非交换几何专家，现为美国波多黎哥大学教授，主要研究方向为 C*-代数、复几何，在C*-代数的分类、强Novikov猜想和粗几何Novikov猜想等问题上做出了杰出的工作，其研究成果发表在《Annals of Mathematics》, 《Inventiones Mathematicae》、《J. Reine Angew. Math.》等国际顶级数学期刊上。他曾获2000年Israel Halperin奖，此奖为加拿大五年一度（有时空缺）的算子代数杰出成就奖。

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