SCHEDULE


The principal lecturer, Professor Iain Raeburn has agreed to give two lectures per day, each day of the conference. These will be held in one of the lecture halls on the campus of the University of Iowa. In addition, it is anticipated that there will be 5 other one-hour lectures by invited senior researchers in the area of graph C*-algebras. These talks will be given in the mornings and will supplement Professor Raeburn's lectures. In the afternoons there will be sessions of shorter talks by the participants. Priority for these will be given to graduate students and younger mathematicians who have recently completed their degrees.


The Proposed Program for Professor Raeburn's 10 Lectures:
  1. An introduction to directed graphs, Cuntz-Krieger families, and the graph algebras of row-finite graphs. Examples, including the Toeplitz algebra, the algebras of finite acyclic graphs, and AF-algebras.

  2. Uniqueness theorems for graph algebras. The gauge action and the gauge-invariant uniqueness theorem; more examples, including dual graphs and graphs with sinks.

  3. The proof of the Gauge-Invariant Uniqueness Theorem: the core, the expectation onto the core and the characterization of faithful representations. The Cuntz-Krieger Uniqueness Theorem.

  4. Simplicity and the ideal structure of graph algebras. Examples, including Cuntz algebras and Cuntz-Krieger algebras.

  5. The C*-algebras of infinite graphs: examples which illustrate the problems, the Drinen-Tomforde desingularization, and simplicity and ideal structure in the case of infinite graphs.

  6. Computing the K-theory of graph algebras. The role of graph algebras in the classification of purely infinite simple nuclear C*-algebras and Szymanski's realization theorem.

  7. Free actions of groups on graphs and the Kumjian-Pask theorem: coactions of groups on C*-algebras, and the role of graph algebras in nonabelian duality. Coverings of graphs, the fundamental group and crossed products by coactions of homogeneous spaces.

  8. Higher-rank graphs: definition, visualization and motivation. Cuntz-Krieger families for locally convex graphs, the C*-algebras of higher-rank graphs and the uniqueness theorems.

  9. Hilbert bimodules and Cuntz-Pimsner algebras associated to directed graphs. Product systems of Hilbert bimodules, higher-rank graphs and the problems of dealing with sources and non-locally convex graphs.

  10. Further applications and current developments, as appropriate at the time.


Rooms will be set aside for informal interactions and discussions. The schedule will be organized to promote these interactions.

A more detailed schedule will be posted here when it becomes available.


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