Some new results on the Chu duality of discrete groups
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Title
Some new results on the Chu duality of discrete groupsDate
2005Publisher
Springer VerlagISSN
0026-9255Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/submittedVersionSubject
Abstract
This paper deals mainly with the Chu duality of discrete groups. Among
other results, we give sufficient conditions for an FC group to satisfy Chu duality
and characterize when the Chu quasi-dual and the Takahashi ... [+]
This paper deals mainly with the Chu duality of discrete groups. Among
other results, we give sufficient conditions for an FC group to satisfy Chu duality
and characterize when the Chu quasi-dual and the Takahashi quasi-dual of a group
G coincide. As a consequence, it follows that when G is a weak sum of a family
of finite simple groups, if the exponent of the groups in the family is bounded
then G satisfies Chu duality; on the other hand, if the exponent of the groups goes
to infinite then the Chu quasi-dual of G coincide with its Takahashi quasi-dual.
We also present examples of discrete groups whose Chu quasi-duals are not locally
compact and examples of discrete Chu reflexive groups which contain non-trivial
sequences converging in the Bohr topology of the groups. Our results systematize
some previous work and answer some open questions in the subject [-]
Is part of
Monatshefte fur Mathematik, n. 149 (2006), 215-232Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [761]