Abstract.
Suppose that there exists a surjective isometry between open subgroups of the groups of invertible elements in the measure algebras on LCA groups. We show that the LCA groups are topologically isomorphic to each other.

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1Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan
Citation Information: Journal of Group Theory. Volume 15, Issue 2, Pages 271–277, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2011.106, March 2012
Suppose that there exists a surjective isometry between open subgroups of the groups of invertible elements in the measure algebras on LCA groups. We show that the LCA groups are topologically isomorphic to each other.
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