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SUMMARY:C*-algebra constructions from orbit-breaking in topological dynami
 cs - Karen  Strung (Academy of Sciences of the Czech Republic)
DTSTART:20250715T150500Z
DTEND:20250715T154500Z
UID:TALK233077@talks.cam.ac.uk
DESCRIPTION:Orbit-breaking in topological dynamical systems was introduced
  by Ian Putnam in his study of the C*-algebras associated to Cantor minima
 l systems. By breaking an orbit at a single point\, Putnam was able to con
 struct all simple unital AF algebras as subalgebras by way of a Cantor min
 imal system. Since then\, orbit-breaking algebras have been used to constr
 uct dynamical models for many stably finite &ldquo\;classifiable&rdquo\; C
 *-algebras\, most notably the Jiang&ndash\;Su algebra. In this talk I will
  highlight these results and also discuss recent work-in-progress with Rob
 in Deeley and Ian Putnam\, where we generalize orbit-breaking for a homeom
 orphism to the setting of a continuous\, surjective\, local homeomorphism\
 , allowing for purely infinite constructions.
LOCATION:External
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