Character-pure locally compact abelian groups and their dual groups

Yuji Takahashi

doi:10.1017/s0305004100069176

Character-pure locally compact abelian groups and their dual groups

Yuji Takahashi

https://doi.org/10.1017/s0305004100069176

Copy DOI

Journal: Mathematical Proceedings of the Cambridge Philosophical Society

Publication Date: Sep 1, 1990

Affiliation: Kushiro Public University of Economics

#Bohr Compactifications #Compact Groups + Show 3 more

Abstract
Full-Text PDF
Similar Papers

Abstract

AbstractWe give some characterizations of the class of character-pure locally compact abelian groups. As an application we supplement a result of Venkataraman characterizing the class of locally compact abelian groups which are topologically pure in their Bohr compactifications. We also study the class of locally compact abelian groups which are pure closed in their Bohr compactifications.

Full Text