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UID:calendar.1426596.field_date.0@mathpicture.fas.harvard.edu
DTSTAMP:20230205T071213Z
DESCRIPTION:Title: \; Highlights of the classification of simple nuclea
r C*-algebrasAbstract: Hyperfinite von Neumann factors were classified ove
r a 40-year span starting with Murray and von Neumann's work in the 1940s\
, almost completed by Connes in the 1970's\, and the last piece done in th
e mid 1980s with Haagerup's proof that the hyperfinite type III_1 factor i
s unique. The first systematic work on simple C*-algebras\, the natural an
alog of a von Neumann factor\, was done by Glimm in 1959. Glimm's work was
extended to the larger class of AF-algebras by Bratteli (late 1960s) and
Elliott (mid 1970s). In the late 1980s\, Elliott realized that these spora
dic classification results had the potential to be extended to a much larg
er and natural class of C*-algebras\, similar to the class of hyperfinite
von Neumann factors. The Elliott conjecture set the agenda for much resear
ch in C*-algebras the following 30 years\, culminating recently with the a
lmost complete classification in terms of K-theory and traces of simple se
parable nuclear C*-algebras (satisfying a certain regularity property as w
ell as a K-theoretical condition\, called the UCT). I will describe some o
f the highlights of this development. \;
DTSTART;TZID=America/New_York:20190402T150000
DTEND;TZID=America/New_York:20190402T150000
LAST-MODIFIED:20190326T215138Z
LOCATION:Jefferson 356
SUMMARY:Seminar\,Mikael Rordam (University of Copenhagen)\, Highlights of t
he classification of simple nuclear C*-algebras
URL;TYPE=URI:https://mathpicture.fas.harvard.edu/event/seminar-mikael-rorda
m-and-magdalena-elena-musat-university-copenhagen-tba
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