English

Quasi-invariant measures for generalized approximately proper equivalence relations

Operator Algebras 2018-09-10 v1 Mathematical Physics Dynamical Systems math.MP

Abstract

We introduce a generalization of the notion of approximately proper equivalence relations studied by Renault and with it we build an \'etale groupoid. Choosing a suitable set of continuous functions to play the role of a potential, we construct a cocycle in that groupoid and discuss the corresponding Radon-Nikodym problem.

Keywords

Cite

@article{arxiv.1809.02461,
  title  = {Quasi-invariant measures for generalized approximately proper equivalence relations},
  author = {R. Bissacot and R. Exel and R. Frausino and T. Raszeja},
  journal= {arXiv preprint arXiv:1809.02461},
  year   = {2018}
}
R2 v1 2026-06-23T03:57:56.840Z