Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras

Alcides Buss, Universidade Federal de Santa Catarina, Florianopolis, Brazil.Siegfried Echterhoff, Universitat Munster, Germany.Rufus Willett, University of Hawaii at Manoa, Honolulu, Hawaii.

• 1. Introduction2. The $G$-equivariant enveloping von Neumann algebra3. Amenable actions4. The quasi-central approximation property5. The weak containment property and commutant amenability6. Actions on $X\rtimes G$-algebras and type I $C^*$-algebras7. Regularity properties8. Some new developments and questions