The classification of some generalised Bunce-Deddens algebras

Authors

James RoutFollow

RIS ID

128066

Publication Details

Rout, J. (2017). The classification of some generalised Bunce-Deddens algebras. Journal of Functional Analysis, 272 3919-3945.

Abstract

We use K-theory to prove an isomorphism theorem for a large class of generalised Bunce–Deddens algebras constructed by Kribs and Solel from a directed graph E and a sequence ω of positive integers. In particular, we compute the torsion-free component of the K0-group for a class of generalised Bunce–Deddens algebras to show that supernatural numbers are a complete invariant for this class.