David Kerr (College Station): Almost finiteness and comparison. Oberseminar C*-Algebren.
Monday, 11.12.2017 14:15 im Raum N2
I will explain how one can develop a dynamical version of some of the theory surrounding
the Toms-Winter conjecture for simple separable nuclear C*-algebras. In particular, I will
formulate a notion of almost finiteness for group actions on compact spaces which can be seen
as an analogue of both hyperfiniteness in the measure-preserving setting and of Z-stability in the
C*-algebra setting and is related to dynamical comparison in the same way that Z-stability is
related to strict comparison in the Toms-Winter context. For free minimal actions of countably
infinite groups on compact metrizable spaces the property of almost finiteness implies that the
crossed product is Z-stable, which leads to new examples of classifiable crossed products.
Angelegt am Thursday, 12.10.2017 15:01 von Elke Enning
Geändert am Friday, 10.11.2017 08:51 von Elke Enning
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