Measurable transformations on compact groups

Choksi, J. R.

doi:10.1090/S0002-9947-1973-0338311-9

Measurable transformations on compact groups
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by J. R. Choksi PDF

Trans. Amer. Math. Soc. 184 (1973), 101-124 Request permission

Abstract:

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

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