Measurable transformations on compact groups-Reference-Cited by-同舟云学术

Measurable transformations on compact groups

Published:1973 Issue:0 Volume:184 Page:101-124
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Choksi J. R.

Abstract

For an arbitrary finite Baire measure μ \mu on an arbitrary compact group G, it is shown that every automorphism of the measure algebra of μ \mu can be induced by an invertible completion Baire measurable point transformation of G. If μ \mu is Haar measure, the point transformation is completion Borel measurable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1973-184-00/S0002-9947-1973-0338311-9/S0002-9947-1973-0338311-9.pdf

Reference18 articles.

1. Harmonic Analysis and the Theory of Probability

2. Inverse limits of measure spaces;Choksi, J. R.;Proc. London Math. Soc. (3),1958

3. Automorphisms of Baire measures on generalized cubes;Choksi, J. R.;Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,1972

4. Automorphisms of Baire measures on generalized cubes. II;Choksi, J. R.;Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,1972

5. Existence of Borel transversals in groups;Feldman, J.;Pacific J. Math.,1968

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Products of Topological Measure Spaces;Handbook of Measure Theory;2002

2. Measures on topological spaces;Journal of Mathematical Sciences;1998-09

3. Measure-theoretic problems in topological dynamics;Journal d'Analyse Mathématique;1995-12

4. Structural properties of compact groups with measure-theoretic applications;Israel Journal of Mathematics;1994-02

5. Isomorphic measures on compact groups;Mathematical Proceedings of the Cambridge Philosophical Society;1992-09