Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590786 | Journal of Functional Analysis | 2013 | 18 Pages |
Abstract
We examine the question of quasidiagonality for C*-algebras of discrete amenable groups from a variety of angles. We give a quantitative version of Rosenbergʼs theorem via paradoxical decompositions and a characterization of quasidiagonality for group C*-algebras in terms of embeddability of the groups. We consider several notable examples of groups, such as topological full groups associated with Cantor minimal systems and Abelsʼ celebrated example of a finitely presented solvable group that is not residually finite, and show that they have quasidiagonal C*-algebras. Finally, we study strong quasidiagonality for group C*-algebras, exhibiting classes of amenable groups with and without strongly quasidiagonal C*-algebras.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory