Operator Theory Seminar

Sergii Bezuglyi
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 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. 

Event Date: 
December 8, 2020 - 1:30pm to 2:20pm
Online and 309 VAN
Calendar Category: 
Seminar Category: 
Operator Theory