On the boundary of the group of transformations leaving a measure quasi-invariant

DOI10.1070/SM2013v204n08ABEH004335zbMath1281.22010arXiv1111.2833MaRDI QIDQ2863129

Yuriĭ A. Neretin

Publication date: 21 November 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2833

zbMATH Keywords

Lebesgue spacepolymorphismMarkov operatorspaces \(L^p\)

Mathematics Subject Classification ID

Measures and integrals in product spaces (28A35) Measurable group actions (22F10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetries of Gaussian measures and operator colligations
• Harmonic analysis on the infinite symmetric group
• Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
• Ergodic theorems. With a supplement by Antoine Brunel
• Asymptotic properties of unitary representations
• Hua-type integrals over unitary groups and over projective limits of unitary groups
• The space \(L^2\) on semi-infinite Grassmannian over finite field
• Polymorphisms, Markov processes, and quasi-similarity
• Spreading maps (polymorphisms), symmetries of Poisson processes, and matching summation
• CATEGORIES OF BISTOCHASTIC MEASURES, AND REPRESENTATIONS OF SOME INFINITE-DIMENSIONAL GROUPS
• Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
• Notes on affine isometric actions of discrete groups