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SUMMARY:Homotopy 3-Type of Abelian C*-Algebras - Gregory Faurot (Ohio Stat
 e University)
DTSTART:20250715T142500Z
DTEND:20250715T144500Z
UID:TALK233059@talks.cam.ac.uk
DESCRIPTION:C*-categories have a rich history in the study of C*-algebras\
 , going back to work of Rieffel in the 1970s. Recent work of Ferrer provid
 es a framework for C*-3-categories\, a higher category theoretic analogue 
 of a C*-category. Given an object $C$ of a higher category\, one may compu
 te the homotopy groups of $C$ in this category. In the C*-3-category $math
 bf{AbC*Alg}$\, we decompose the first higher homotopy group of $C(T)$ as a
 n extension of the homeomorphism group of $T$ by a subgroup of its third c
 ohomology group. This work is joint with Giovanni Ferrer.
LOCATION:External
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