Seminar on crossed products

Tentative schedule:

• October 9: organization and overview (Eusebio Gardella).


• October 16: no seminar.


• October 23: basic definitions, constructions and examples (Paul Lunkenheimer). Slides.


• October 30: functoriality properties, amenability and exactness (Malte Höltershinken). Notes.


• November 6: Morita and cocycle equivalence for actions, part 1 (Julian Kranz). Slides.


• November 13: Morita and cocycle equivalence for actions, part 2 (Julian Kranz). Slides.


• November 20: induced actions and imprimitivity theorems (Shirly Geffen). Notes.


• November 27: Takai duality (Omar Mohsen).


• December 4: Landstad's duality for crossed products (Antje Dabeler).


• December 11: K-theory of crossed products by Z and R (not yet assigned).


• December 18: no seminar.


• January 8: no seminar.


• January 15: actions on compact operators and Mackey obstructions (Kristin Courtney).



Bibliography:

• [BO] N. Brown and N. Ozawa. C*-algebras and finite-dimensional approximation. Graduate Studies in Mathematics 88, AMS. Available here.
• [Ech] S. Echterhoff. Crossed products and the Mackey-Rieffel-Green machine. Available here.
• [Phi] N. C. Phillips. An introduction to crossed product C*-algebras and minimal dynamics. Lecture notes. Available here.
• [Wil] D. Williams. Crossed products of C*-algebras. Mathematical Surveys and Monographs, Vol 134, AMS 2007. Freely available here.