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. Introduction 2. The $G$-equivariant enveloping von Neumann algebra 3. Amenable actions 4. The quasi-central approximation property 5. The weak containment property and commutant amenability 6. Actions on $X\rtimes G$-algebras and type I $C^*$-algebras 7. Regularity properties 8. Some new developments and questions