| Title:
|
The dual space of precompact groups (English) |
| Author:
|
Ferrer, M. |
| Author:
|
Hernández, S. |
| Author:
|
Uspenskij, V. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
239-244 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
compact group |
| Keyword:
|
precompact group |
| Keyword:
|
representation |
| Keyword:
|
Pontryagin--van Kampen duality |
| Keyword:
|
compact-open topology |
| Keyword:
|
Fell dual space |
| Keyword:
|
Fell topology |
| Keyword:
|
Kazhdan property (T) |
| MSC:
|
22A25 |
| MSC:
|
22C05 |
| MSC:
|
22D35 |
| MSC:
|
43A35 |
| MSC:
|
43A40 |
| MSC:
|
43A65 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 06221265 |
| idMR:
|
MR3067706 |
| . |
| Date available:
|
2013-06-25T12:52:46Z |
| Last updated:
|
2015-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143272 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| . |
