It is shown that if a second countable locally compact group G acts nonsingularly on an
analytic measure space (S, μ), then there is a Borel subset E⊂ S such that EG is conull in S …

We replace measure with category in an argument of GW Mackey to characterize closed
subgroups H of a totally nonmeager, 2nd countable topological group G in terms of the …

If an analytic Borel group G has a quasiinvariant measure, it is known that G is actually a
locally compact group with the original Borel structure being generated by the topology and …

If a countable discrete group acts ergodically on a standard Borel space with a quasi-
invariant measure, there is a von Neumann algebra associated to it by the classical …

Techniques are developed to study the regular representation and $\sigma $-regular
representations of measure groupoids. Convolution, involution, a modular Hilbert algebra …

It has been shown by J. Feldman, P. Hahn and CC Moore that every non-singular action of a
second countable locally compact group has a countable (in fact so-called lacunary) …

Let f be a one‐cocycle for a non‐singular action of a locally compact group G on a standard
measure space (Y, μ) with values in a locally compact abelian group A. If χ ɛ Â, χ (f) is a one …

The title refers to the area of research which studies infinite groups using measure-theoretic
tools, and studies the restrictions that group structure imposes on ergodic theory of their …

The study of continuous group actions is ubiquitous in mathematics, and perhaps the most
general kinds of actions for which we can hope to prove theorems in just ZFC are those …

GW Mackey developed a general method for analyzing the dual of a locally compact group
G (always second countable) in terms of the dual of a closed normal subgroup N and the …