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SUMMARY:Uniqueness theorems for maps into II1-factors and ultraproducts of
  matrices - Shanshan Hua (University of Oxford)
DTSTART:20250716T111000Z
DTEND:20250716T113000Z
UID:TALK233254@talks.cam.ac.uk
DESCRIPTION:Over the past few decades\, the classification results for C*-
 algebras have been built on those of morphisms. In the recent work of Carr
 i&oacute\;n\, Gabe\, Schafhauser\, Tikuisis and White\, they recaptured th
 e classification theorem for a large class of simple Z-stable C*-algebras 
 by classifying maps into such C*-algebras. Following their abstract classi
 fication framework\, we go beyond the range of currently existing classifi
 cation results.\nFor instance\, as part of our results\, uniqueness theore
 ms for maps into II1-factors and ultraproducts of matrices are obtained\, 
 where codomain C*-algebras are either not known to admit Z-stability or ar
 e known to lack Z-stability.
LOCATION:External
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