2008 | OriginalPaper | Chapter
(C, F)-Actions in Ergodic Theory
Author : Alexandre I. Danilenko
Published in: Geometry and Dynamics of Groups and Spaces
Publisher: Birkhäuser Basel
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This is a survey of a recent progress related to the (
C, F
)-construction of funny rank-one actions for locally compact groups. We exhibit a variety of examples and counterexamples produced via the (
C, F
)-techniques in every of the following categories: (i) probability preserving actions, (ii) infinite measure preserving actions, (iii) non-singular actions (Krieger’s type
III
).