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SUMMARY:Approximations using pure states - Shanshan Hua (University of Oxf
 ord)
DTSTART:20250703T150000Z
DTEND:20250703T153000Z
UID:TALK233788@talks.cam.ac.uk
DESCRIPTION:Nuclearity of C*-algebras is a fundamental property in the cla
 ssification program\, often viewed as an internal finite-dimensional appro
 ximation property. In 2012\, Matui and Sato introduced a refined finite-di
 mensional approximation property using pure states for simple C*-algebras\
 , which leads to a breakthrough in the remaining implication of the Toms-W
 inter conjecture - an important open problem in classification. The proper
 ty was later generalized to non-simple C*-algebras. In this talk\, we show
  that this property is equivalent to nuclearity and mention its relation t
 o the classification program.&nbsp\;
LOCATION:External
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