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SUMMARY:Recovering dynamics from dynamical constructions - Aidan  Sims (Un
 iversity of Wollongong)
DTSTART:20250715T083000Z
DTEND:20250715T091000Z
UID:TALK233044@talks.cam.ac.uk
DESCRIPTION:Many key classes of C*-algebras\, and of closely related abstr
 act algebras\, arise as representations of dynamical or combinatorial obje
 cts. For such algebras\, a natural question is: &ldquo\;What collection of
  (C*)-algebraic information is needed to &lsquo\;remember&rsquo\; the dyna
 mics?&rdquo\; For example\, a rotation algebra remembers the defining rota
 tion up to a sign\; but you need a Cuntz-Krieger algebra \\emph{and} its c
 anonical Cartan subalgebra to remember flow-equivalence class of the assoc
 iated subshift. I will discuss the problem of recovering a given dynamical
  or combinatorial object from an associated (C*)-algebra\, and outline wha
 t is known and some of what is not.
LOCATION:External
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