Operator Theory Seminar
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.