Operator Theory Seminar - Professor Sergii Bezuglyi; Department of Mathematics; The University of Iowa

December 8, 2020 - 1:30pm to 2:30pm
via Zoom

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.

SBezuglyi