Comparing the automorphism group of the measure algebra with some groups related to the infinite permutation group of the natural numbers

2003/12/27 by Pietro Ursino, Ursino, Pietro
Mathematics · #06E99 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Logic (math.LO) #Mathematical Dynamics and Fractals #math.LO #msc:06E99

paper · pdf · doi:10.48550/arxiv.math/0312472

9 pages

arxiv created 2003/12/27 · openalex publication_date 2003/12/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove, by a straight construction, that the automorphism group of the measure algebra and the subgroup of the measure preserving ones cannot be isomorphic to the trivial automorphisms of P(N)/fin.

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