C*-algebra constructions from orbit-breaking in topological dynamics

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• Karen Strung (Academy of Sciences of the Czech Republic)
• Tuesday 15 July 2025, 16:05-16:45
• External.

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TGAW02 - C*-algebras: classification and dynamical constructions

Orbit-breaking in topological dynamical systems was introduced by Ian Putnam in his study of the C-algebras associated to Cantor minimal systems. By breaking an orbit at a single point, Putnam was able to construct all simple unital AF algebras as subalgebras by way of a Cantor minimal system. Since then, orbit-breaking algebras have been used to construct dynamical models for many stably finite “classifiable” C-algebras, most notably the Jiang–Su algebra. In this talk I will highlight these results and also discuss recent work-in-progress with Robin Deeley and Ian Putnam, where we generalize orbit-breaking for a homeomorphism to the setting of a continuous, surjective, local homeomorphism, allowing for purely infinite constructions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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