报告人:王述洲 (美国乔治亚大学)

时  间:2019年3月25日  14:00--15:00

地  点:理科楼 LD302

摘  要: In 1964, Takesaki discovered that the product representation of the left and right regular representations of the reduced group C*-algebra of the free group on two generators is unbounded under the minimal/spatial tensor product, thus introducing non-nuclear C*-algebras. Wassermann subsequently showed that the product representation of the left and right regular representation of the full group C*-algebra of the same group is bounded under the minimal/spatial tensor product. Using these ideas, Kirchberg introduced the notion of factorization property for discrete groups and showed that residual finite groups has the factorization property and conversely, groups with both the factorization property and property (T) are residually finite. In this talk, we will explain how to extend these results of Kirberberg for discrete groups to discrete quantum groups and show that the discrete duals of the universal orthogonal and unitary quantum groups have the factorization property when the dimension of the fundamental representation of the latter is different from 3.

(Joint work Angshuman Bhattacharya, Michael Brannan, Alexandru Chirvasitu)

报告人简介:王述洲，美国乔治亚大学数学系副教授。研究领域为算子代数（量子群）。详情见个人主页http://alpha.math.uga.edu/~szwang/

公司联系人:黄辉斥

欢迎广大师生积极参与！