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Operator Algebra and Noncommutative Geometry Seminar Series

July 12 @ 3:30 pm - 4:30 pm

Title

Suspensions of graphs, and C*-algebras.

Speaker

Senior Professor Aidan Sims  (University of Wollongong)

Abstract

The suspension of the 1-sided shift space X associated to a graph E is the quotient of X \times [0,\infty) in which (x, 1) is glued to (\sigma(x), 0). Each positive real number l induces a transformation of SX by translation in the second coordinate. When l = 1, this dynamics encodes the original shift \sigma. Constructing C*-algebras that encode these transformations is difficult because they are not open maps. I’ll describe an approach based on realising the dynamics induced by l in terms of a topological quiver constructed from E, and explain why the result agrees quite well with what we’d might expect from a symbolic-dynamics point of view for rational values of l.

Organiser

Institute for Mathematics & its Applications
Email:
asierako@uow.edu.au
Website:
http://imia.uow.edu.au

Other

Speaker
Senior Professor Aidan Sims (University of Wollongong)

Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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