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SUMMARY:Toke Meier Carlsen (University of the Faroe Islands)
DTSTART;VALUE=DATE-TIME:20200902T190000Z
DTEND;VALUE=DATE-TIME:20200902T200000Z
DTSTAMP;VALUE=DATE-TIME:20240222T211400Z
UID:NYC-NCG/22
DESCRIPTION:Title: Cuntz-Krieger algebras\, topological Markov shifts and groupoids\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
â€“Krieger algebras".\n\nK. Matsumoto and H. Matui: "Continuous orbit equi
valence of topological Markov shifts and Cuntzâ€“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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