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New criteria for equivalence of locally compact abelian groups
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Osamu Hatori
Published/Copyright:
March 6, 2012
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.
Received: 2011-02-23
Revised: 2011-06-13
Published Online: 2012-03-06
Published in Print: 2012-March
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Lower signalizer lattices in alternating and symmetric groups
- Group rings in which the group of units is hyperbolic
- The normalizer property for integral group rings of finite solvable T-groups
- Finite -groups all of whose proper subgroups have cyclic Frattini subgroups
- A -group with positive rank gradient
- New criteria for equivalence of locally compact abelian groups
- Rough ends of infinite primitive permutation groups
- Automorphism groups of rooted trees have property (FA): A new proof
- About the metric approximation of Higman's group
