Equivariant measurable liftings

• Autorzy: Nicolas Monod
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28A51: Lifting theory
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 46G15: Functional analytic lifting theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 230
• Numer: 2
• Strony: 149-165

Daty

wydano

2015

Twórcy

autor

Nicolas Monod

• EPFL, 1015 Lausanne, Switzerland

Identyfikatory

DOI

10.4064/fm230-2-2