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Equidecomposition in cardinal algebras

Authors :
Forte Shinko
Publication Year :
2020
Publisher :
Institute of Mathematics, Polish Academy of Sciences, 2020.

Abstract

Let $\Gamma$ be a countable group. A classical theorem of Thorisson states that if $X$ is a standard Borel $\Gamma$-space and $\mu$ and $\nu$ are Borel probability measures on $X$ which agree on every $\Gamma$-invariant subset, then $\mu$ and $\nu$ are equidecomposable, i.e. there are Borel measures $(\mu_\gamma)_{\gamma\in\Gamma}$ on $X$ such that $\mu = \sum_\gamma \mu_\gamma$ and $\nu = \sum_\gamma \gamma\mu_\gamma$. We establish a generalization of this result to cardinal algebras.

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....920de8e6b093522382aff74fae2a9239