Equivariant measurable liftings

We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Mobius group of the projective line. Since the general proof is very simple but not explicit, we also provide a much more explicit lifting for semisimple Lie groups acting on their Furstenberg boundary, using unrestricted Fatou convergence. This setting is relevant to L-infinity-cocycles for characteristic classes.


Published in:
Fundamenta Mathematicae, 230, 2, 149-165
Year:
2015
Publisher:
Warszawa, Polish Acad Sciences Inst Mathematics-Impan
ISSN:
0016-2736
Keywords:
Laboratories:




 Record created 2015-09-28, last modified 2018-03-17


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