Noncommutative Geometry Seminar

Date: January 28, 2022

Time: 2:00PM - 3:00PM

Location: ZOOM

Speaker: Yanli Song, Washington University in St. Louis

Title: K-theory of the reduced C*-algebra of a real reductive Lie group

Abstract: In 1987, Antony Wassermann announced a result of the structure of reduced C∗-algebra of a connected, linear real reductive group, up to Morita equivalence, and the verification of the Connes-Kasparov conjecture for these groups. In this talk, I will close a gap in the literature by providing the remaining details concerning the computation of the reduced C∗-algebra and discuss details of the C∗-algebraic Morita equivalence. In addition, I will also review the construction of the Connes-Kasparov morphism. The tool we used in the computation comes from David Vogan’s theory of minimal K-types. This is a joint work with Pierre Clare, Nigel Higson and Xiang Tang.

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