College of Liberal Arts & Sciences
Operator Theory Seminar - Professor Sergii Bezuglyi; Department of Mathematics; The University of Iowa
Operator Theory - Tuesdays 1:30-2:30 Zoom ID 95217674506
https://uiowa.zoom.us/j/95217674506
Professor Sergii Bezuglyi
Department of Mathematics
The University of Iowa
Title: Generalized Bratteli diagrams
Abstract:
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
cases:
(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.
