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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Translation invariant sigma algebras on groups


Author: D. A. Lind
Journal: Proc. Amer. Math. Soc. 42 (1974), 218-221
MSC: Primary 28A65; Secondary 22D40
MathSciNet review: 0325924
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Abstract: The translation invariant sigma subalgebras of the Baire sets of a locally compact abelian group are characterized as those periodic under some closed subgroup.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0325924-X
Keywords: Translation invariant sigma algebras, closed subgroup, periodic Baire sets, Stone-Weierstrass theorem
Article copyright: © Copyright 1974 American Mathematical Society