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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:20230208T071351Z
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 NYC noncom
mutative geometry seminar\n\n\nAbstract\nIt is well-known that there is a
strong connection between Cuntz-Krieger algebras and a certain type of shi
fts of finite type called topological Markov shifts. Recently\, it has bee
n discovered that topological Markov shifts can be recovered up to differe
nt kinds of equivalence from the corresponding Cuntz-Krieger algebras.\n\n
I will 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 following papers.\n\nK. Matsumoto: "Orbit equivalence of topological M
arkov shifts and Cuntz-Krieger algebras".\n\nK. Matsumoto: "Continuous orb
it equivalence\, flow equivalence of Markov shifts and circle actions on C
untzâ€“Krieger algebras".\n\nK. Matsumoto and H. Matui: "Continuous orbit
equivalence of topological Markov shifts and Cuntzâ€“Krieger algebras".\n\
nT. M. Carlsen\, S. Eilers\, E. Ortega\, and G. Restorff: "Flow equivalenc
e and orbit equivalence for shifts of finite type and isomorphism of their
groupoids".\n\nT. M. Carlsen and J. Rout: "Diagonal-preserving gauge-inva
riant isomorphisms of\ngraph C*-algebras".\n\nT. M. Carlsen\, E. Ruiz\, A.
Sims\, and M. Tomforde: "Reconstruction of groupoids and C*-rigidity of d
ynamical systems".\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/22/
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