Scientific Program

The summer school was directed at Ph.D students and postdocs and consisted of 3 mini-courses and contributed talks by some of the participants. A detailed report about the summer school is avaliable in the following pdf-file: Report on the summer school.

The schedule of the summer school can be found here. You will also find a detailed schedule, together with abstracts of the contributed talks and the list of participants, in the following pdf-file: info.pdf.

The 3 mini-courses were:

Lecturers: Steve Kaliszewski and John Quigg.

This mini-course covered

1. Duality as a categorical equivalence, for both actions and coactions of locally compact groups.
2. Categorical relationships among various types of coactions.

1. Basic familiarity with crossed products of C*-algebras by actions of locally compact groups. (Nodding acquaintance with coactions also helpful, but not strictly necessary.)
2. Nodding acquaintance with categories (e.g., definitions of functor and natural equivalence).

Lecture notes: Categorical perspectives in noncommutative duality.

Lecturer: Aidan Sims.

This mini-course covered:

1. The construction of a higher-rank graph from its skeleton, and examples of higher-rank graphs.
2. The basic theory of higher-rank graph C*-algebras including the uniqueness and simplicity theorems and gauge-invariant ideal structure.
3. The k-morph construction, leading to key examples of higher-rank graph C*-algebras in classification theory, dynamical systems and coaction theory.

Basic familiarity with operators on Hilbert space and elementary C*-theory. (Everything you need and more can be found in Raeburn's CBMS notes on Graph algebras.)

Lecture notes: Lecture notes on higher rank-rank graphs and their C*-algebras.

Lecturer: Andreas Thom.

The lecture course covered:

1. Basics about unitary representations of discrete groups
2. Amenable groups and Dixmiers Problem
3. Almost representations and the Theorem of Kazhdan

Basic familiarity with operators on Hilbert space and group theory.