Equivariant measurable liftings

Nicolas Monod. "Equivariant measurable liftings." Fundamenta Mathematicae 230.2 (2015): 149-165. <http://eudml.org/doc/283312>.

@article{NicolasMonod2015,
abstract = {We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Möbius 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 $L^∞$-cocycles for characteristic classes.},
author = {Nicolas Monod},
journal = {Fundamenta Mathematicae},
keywords = {lifting; equivariant; amenable action; ultrafilter limit},
language = {eng},
number = {2},
pages = {149-165},
title = {Equivariant measurable liftings},
url = {http://eudml.org/doc/283312},
volume = {230},
year = {2015},
}

TY - JOUR
AU - Nicolas Monod
TI - Equivariant measurable liftings
JO - Fundamenta Mathematicae
PY - 2015
VL - 230
IS - 2
SP - 149
EP - 165
AB - We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Möbius 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 $L^∞$-cocycles for characteristic classes.
LA - eng
KW - lifting; equivariant; amenable action; ultrafilter limit
UR - http://eudml.org/doc/283312
ER -