Colloquium October 3
Date: Friday October 3
Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: David W. Kribs of Univ of Guelph
Title: Operator Algebras from Directed Graphs
Abstract
Every directed graph generates a family of operator algebras. The
study of this class of algebras was initially motivated by connections with
dynamical systems, but has now taken on a life of its own. These operator
algebras have received much recent interest because it has been possible
to link deep properties of the algebra with simple properties of the
underlying directed graph, and, at the same time, many new interesting
examples have been discovered. From the C^*-algebra perspective, such
algebras are often called Cuntz-Krieger or C-K-Toeplitz graph
C^*-algebras. On the other hand, recent advances have opened the door for
studying non-selfadjoint versions of these algebras. I shall discuss my
work, together with several collaborators, on the class of non-selfadjoint
operator algebras generated by directed graphs. Examples include algebras
with free behaviour, algebras which can be represented as matrix function
algebras or nest algebras, and numerous examples which do not fit into
previously known designations.
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