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Recovering dynamics from dynamical constructions

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  • UserAidan Sims (University of Wollongong)
  • ClockTuesday 15 July 2025, 09:30-10:10
  • HouseExternal.

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TGAW02 - C*-algebras: classification and dynamical constructions

Many key classes of C-algebras, and of closely related abstract algebras, arise as representations of dynamical or combinatorial objects. For such algebras, a natural question is: “What collection of (C)-algebraic information is needed to ‘remember’ the dynamics?” For example, a rotation algebra remembers the defining rotation up to a sign; but you need a Cuntz-Krieger algebra \emph{and} its canonical Cartan subalgebra to remember flow-equivalence class of the associated subshift. I will discuss the problem of recovering a given dynamical or combinatorial object from an associated (C*)-algebra, and outline what is known and some of what is not.

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

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