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Publication Date:
March 2012
ISSN:
1435-4446
DOI:
10.1515/jgt.2011.106

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Editor-in-Chief: Wilson, John S.

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New criteria for equivalence of locally compact abelian groups

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

Publication History:
Received:
2011-02-23
Revised:
2011-06-13
Published Online:
2012-03-06

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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