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SUMMARY:Bhishan Jacelon (Czech Academy of Sciences)
DTSTART:20220608T190000Z
DTEND:20220608T200000Z
DTSTAMP:20260420T053457Z
UID:NYC-NCG/102
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/102/
 ">Dynamical applications of C*-classification</a>\nby Bhishan Jacelon (Cze
 ch Academy of Sciences) as part of Noncommutative geometry in NYC\n\n\nAbs
 tract\nBy the work of many mathematicians\, including Elliott\, Gong\,\nLi
 n and Niu\, the class of infinite-dimensional\, simple\, separable\nC*-alg
 ebras that have finite nuclear dimension and satisfy the UCT can\nbe class
 ified by an invariant based on K-theory and traces. Insofar as\nthe theme 
 of classification is pervasive throughout science in\ngeneral\, and (nonco
 mmutative) topology in particular\, this result is\nan extraordinary feat 
 of mathematics. What's more\, it provides\npowerful machinery for the anal
 ysis of the internal structure of\namenable C*-algebras. In this talk\, I 
 will explain one such\napplication: In the subclass of classifiable C*-alg
 ebras consisting of\nthose for which the simplex of tracial states is none
 mpty\, with\nextremal boundary that is compact and has the structure of a 
 connected\ntopological manifold\, automorphisms can be shown to be generic
 ally\ntracially chaotic. Using similar ideas\, I will show how certain sta
 bly\nprojectionless C*-algebras can be described as crossed products.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/102/
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