Cartan subalgebras for non-principal twisted groupoid C*-algebras
发布人: 曹思圆   发布时间: 2022-04-10   浏览次数: 10

*时间:2022年04月15日 15:00-16:00

*地点:Zoom 会议: 813 6886 3279  密码: 519643

*主讲人:Anna Duwenig

*主持人:Valerio Proietti


*讲座内容简介:

The reduced C*-algebra of a topologically principal twisted groupoid has a canonical Cartan subalgebra: functions on its unit space. A remarkable Weyl groupoid construction, due to Kumjian and Renault, asserts the converse: If a C*-algebra A admits a Cartan subalgebra, there exists such a groupoid whose C*-algebra is isomorphic to A in a Cartan-preserving way. In this talk, I will present on joint work with Gillaspy, Norton, Reznikoff, and Wright, in which we identified subgroupoids of (not necessarily topologically principal) groupoids that give rise to Cartan subalgebras. If time permits, I will further give an explicit description of the associated Weyl groupoid and twist, which is based on further joint work with Gillaspy and Norton.


*主讲人简介:

Anna Duwenig,2020年在加拿大维多利亚大学获得博士学位,研究方向是算子代数和泛函分析,特别在群胚C*-代数方面做出了出色成果,发表在J. Funct. Anal., Trans. Amer. Math. Soc.等知名期刊上。