Seminar on crossed products

This is a Masters/PhD seminar I'm offering in the Winter semester 2019-2020 at WWU Münster. It takes place on Wednesdays at 14:00 (cum tempo), in room SRZ 202 (second floor of the newest Math building).

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.