Operator algebra seminar

Speaker:  Kang Li (University of Münster)

Title: Relative nuclear dimension for C*-algebras

Abstract: We will introduce the notion of relative nuclear dimension for diagonal/Cartan pairs and compare it with usual nuclear dimension for C*-algebras. We will also show that the relative nuclear dimension of a uniform Roe algebra is equal to the asymptotic dimension of its underlying metric space. Finally, we will discuss its relation to dynamic asymptotic dimension introduced by Guentner, Willett and Yu.