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Some examples of factor groupoids (2204.13888v3)
Published 29 Apr 2022 in math.OA
Abstract: 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.
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