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Virtually polycyclic groups have finite nuclear dimension

Jianchao Wu  (Texas A&M University)

10:00-11:00, June 23, 2020   Zoom 514 693 6752




Abstract:

Finite nuclear dimension is an important regularity property of C*-algebras and has played an important role in the Elliott classification program. Based on my earlier work with Hirshberg on finite nuclear dimension of crossed products associated to topological dynamical systems, Eckhardt and I are able to show that any twisted group C*-algebra of a virtually polycyclic group has finite nuclear dimension. Thus any simple quotient of these C*-algebras satisfying the UCT is classifiable by the Elliott invariant.

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