Factor groupoid examples: Cantor functions and iterated function systems
Mitchell Haslehurst (University of Victoria)
Thursday 7th April, 2022 16:00-17:00 Maths 311B
In this talk I will describe two constructions of Hausdorff étale factor groupoids, which, in a sense, can be thought of as noncommutative quotient spaces. One construction arises 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 C*-algebras of the factor groupoids are classifiable in the Elliott scheme, and I will describe their K-theory.