Amenability and weak containment for étale groupoids
Julian Kranz (University of Münster, Germany)
Abstract: A famous theorem of Hulanicki says that a locally compact group is amenable if and only if its full and reduced C*-algebras coincide. For groupoids, the situation is more delicate: While amenability implies equatility of the full and reduced C*-algebra, the converse fails according to examples by Willett. The behavior of Willett's groupoids can be explained by their non-exactness. We show that if an étale groupoid satisfies a certain exactness condition, then equality of its full and reduced C*-algebra is equivalent to amenability of the groupoid.
operator algebras
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |