Journal of Operator Theory

Volume 91, Issue 2, Spring 2024 pp. 471-504.

Some examples of factor groupoids

Authors: Mitch Haslehurst

Summary: We examine two classes of examples of Hausdorff etale factor groupoids; one comes from taking a quotient space of the unit space of an AF-groupoid, and the other comes from certain nonhomogeneous extensions of Cantor minimal systems considered by Robin Deeley, Ian Putnam, and Karen Strung. The reduced $C^*$-algebras of the factor groupoids are classifiable in the Elliott scheme, and we describe their $K$-theory and traces.

DOI: http://dx.doi.org/10.7900/jot.2022jun07.2421
Keywords: $C^*$-algebra, groupoid, K-theory, dynamical system, iterated function system

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