This is the home page for N. C. Phillips' course "Crossed products of C*-algebras and Banach algebras" at the University of Toronto, winter semester 2014 (6 January--4 March 2014).

This course will be on crossed products of C*-algebras and Banach algebras. It is intended to be accessible to students with an introductory course in C*-algebras. It is also intended to be accessible to those with some knowledge of Banach algebras but who are not familiar with C*-algebras, provided they are willing to take on faith some of the basics of C*-algebras. Banach algebras crossed products have so far been very little studied, partly because people did not realize they are mathematically interesting. We will take the theory of C*-algebra crossed products as a main source of ideas for what one might do for Banach algebra crossed products, although this is certainly not the only possible source.

- Course title: Crossed products of C*-algebras and Banach algebras.
- Course time: MWF 11:10 am--12:00 noon.
- Course location: Fields Institute room 230.
- Office: 410 Fields Institute.
- Office phone: 416-348-9710 extension 4010.
- Office hours: MWF 1:10--2:00 pm.
- More detailed course description.

Videos of most of the lectures are archived at the Fields Institute video archive for this course. (As of this writing, the lectures are posted through the one of 29 January. The lecture of 22 January was not recorded because of technical problems.)

Lectures can be watched live here. It is possible, with some preparation, to arrange to be able to ask questions live during the lecture. The page has a list of upcoming live events; unfortunately, the course is not listed on it.

Here are some references.

- My draft notes on crossed product C*-algebras and minimal dynamics. These notes are still very incomplete, and I hope to make further progress on them before the start of the course and during it. There is nothing in these notes about Banach algebra crossed products.
- Sjoerd Dirksen, Marcel de Jeu, and Marten Wortel, Crossed products of Banach algebras. I, Preprint (arXiv:1104.5151 [math.OA]). General theory of crossed products of Banach algebras.
- N. Christopher Phillips, Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces, Preprint (arXiv:1309.6406 [math.FA]). Crossed products of Banach algebras which act on L^p spaces for p in [1, \infinity).

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Last significant change 16 November 2013.