Rank One Systems in Borel Dynamics, and Measure Extension of Bratteli Diagrams

Andrew Barsky

The class of rank one automorphisms of a measure space has been extensively studied since the 1970s. They have been recently classified up to isomorphism. We introduce the notion of a rank one automorphism in the context of Borel dynamics. We show that these automorphisms arise naturally in the theory of Bratteli diagrams as extensions from odometers. This talk is based on joint work with Sergii Bezuglyi.

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