Operator Theory Seminar - Professor Sergii Bezuglyi; Department of Mathematics; The University of Iowa
Operator Theory - Tuesdays 1:30-2:30 Zoom ID 95217674506
Professor Sergii Bezuglyi
Department of Mathematics
The University of Iowa
Title: Generalized Bratteli diagrams
A Bratteli diagram is a countable graph with vertices partitioned into finite levels and whose edges connect vertices of neighboring levels. They are used in the classification of AF C*-algebras and constructions of models of transformations in dynamical systems. What happens if we drop the assumption of finiteness of the set of vertices in each level? In my talk I plan to discuss two
(a) Bratteli diagrams with countable levels, and
(b) "Bratteli diagrams" with levels represented by measure spaces.
We will see similarities between these two cases.
The talk is based on a joint paper with Palle Jorgensen.