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SUMMARY:G-kernels and crossed modules - Sergio Giron pacheco (KU Leuven)
DTSTART:20250704T091000Z
DTEND:20250704T093000Z
UID:TALK233212@talks.cam.ac.uk
DESCRIPTION:For a discrete group G and a C*-algebra A a G-kernel on A is a
  homomorphism from G to outer automorphism group of A. To any G-kernel\, o
 ne can associate a cohomological obstruction to lifting it to a group acti
 on on A. In a recent work with Evington and subsequent work of Izumi\, new
  cohomological invariants of G-kernels were introduced. These invariants p
 lace restrictions to the possible values of lifting obstructions on C*-alg
 ebras. In this talk\, I will discuss how these obstructions can be interpr
 eted as cohomology with coefficients in crossed modules and the benefits o
 f this framework. This is joint work with Masaki Izumi and Ulrich Pennig.
LOCATION:External
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