期刊论文详细信息
Commentationes mathematicae Universitatis Carolinae | |
The dual space of precompact groups | |
M. Ferrer1  | |
关键词: compact group; precompact group; representation; Pontryagin--van Kampen duality; compact-open topology; Fell dual space; Fell topology; Kazhdan property (T); | |
DOI : | |
学科分类:物理化学和理论化学 | |
来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics | |
【 摘 要 】
For any topological group $G$ the dual object $\widehat G$ is defined as the set of equivalence classes of irreducible unitary representations of $G$ equipped with the Fell topology. If $G$ is compact, $\widehat G$ is discrete. In an earlier paper we proved that $\widehat G$ is discrete for every metrizable precompact group, i.e.~a dense subgroup of a compact metrizable group. We generalize this result to the case when $G$ is an almost metrizable precompact group.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904039870375ZK.pdf | 46KB | download |