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Strict topology on locally compact groups.
- Source :
-
Topology & Its Applications . Aug2017, Vol. 226, p42-50. 9p. - Publication Year :
- 2017
-
Abstract
- Let G be a locally compact group, A a subalgebra of the measure algebra M ( G ) , and A a family of Borel subsets of G that is closed under finite unions. In this paper, among other results, we find sufficient conditions on A , that imply A is a semi-topological algebra with respect to the strict topology β A . We also find necessary and sufficient conditions on G , that imply A is a topological algebra with respect to the strict topology β A , where A is a family of Borel subsets of G with finite Haar measure. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRAIC topology
*BOREL subsets
*HAAR integral
*TOPOLOGICAL groups
*FINITE groups
Subjects
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 226
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123503550
- Full Text :
- https://doi.org/10.1016/j.topol.2017.04.028