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SUMMARY:Toke Meier Carlsen (University of the Faroe Islands)
DTSTART:20200902T190000Z
DTEND:20200902T200000Z
DTSTAMP:20260408T154456Z
UID:NYC-NCG/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/22/"
 >Cuntz-Krieger algebras\, topological Markov shifts and groupoids</a>\nby 
 Toke Meier Carlsen (University of the Faroe Islands) as part of Noncommuta
 tive geometry in NYC\n\n\nAbstract\nIt is well-known that there is a stron
 g connection between Cuntz-Krieger algebras and a certain type of shifts o
 f finite type called topological Markov shifts. Recently\, it has been dis
 covered that topological Markov shifts can be recovered up to different ki
 nds of equivalence from the corresponding Cuntz-Krieger algebras.\n\nI wil
 l give an overview of these results and explain how groupoids can be used 
 to prove and generalise them.\n\nThe talk will primarily be based on the f
 ollowing papers.\n\nK. Matsumoto: "Orbit equivalence of topological Markov
  shifts and Cuntz-Krieger algebras".\n\nK. Matsumoto: "Continuous orbit eq
 uivalence\, flow equivalence of Markov shifts and circle actions on Cuntz
 –Krieger algebras".\n\nK. Matsumoto and H. Matui: "Continuous orbit equi
 valence of topological Markov shifts and Cuntz–Krieger algebras".\n\nT. 
 M. Carlsen\, S. Eilers\, E. Ortega\, and G. Restorff: "Flow equivalence an
 d orbit equivalence for shifts of finite type and isomorphism of their gro
 upoids".\n\nT. M. Carlsen and J. Rout: "Diagonal-preserving gauge-invarian
 t isomorphisms of\ngraph C*-algebras".\n\nT. M. Carlsen\, E. Ruiz\, A. Sim
 s\, and M. Tomforde: "Reconstruction of groupoids and C*-rigidity of dynam
 ical systems".\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/22/
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