On twisted group $C^{\ast }$ -algebras associated with FC-hypercentral groups and other related groups
We show that the twisted group $C^{\ast }$ -algebra associated with a discrete FC-hypercentral group is simple (respectively, has a unique tracial state) if and only if Kleppner’s condition is satisfied. This generalizes a result of Packer for countable nilpotent groups. We also consider a larger cl...
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| Veröffentlicht in: | Ergodic theory and dynamical systems 2016-09, Vol.36 (6), p.1743-1756 |
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| container_end_page | 1756 |
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| container_issue | 6 |
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| container_title | Ergodic theory and dynamical systems |
| container_volume | 36 |
| creator | BÉDOS, ERIK OMLAND, TRON |
| description | We show that the twisted group
$C^{\ast }$
-algebra associated with a discrete FC-hypercentral group is simple (respectively, has a unique tracial state) if and only if Kleppner’s condition is satisfied. This generalizes a result of Packer for countable nilpotent groups. We also consider a larger class of groups, for which we can show that the corresponding reduced twisted group
$C^{\ast }$
-algebras have a unique tracial state if and only if Kleppner’s condition holds. |
| doi_str_mv | 10.1017/etds.2015.9 |
| format | Article |
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-algebra associated with a discrete FC-hypercentral group is simple (respectively, has a unique tracial state) if and only if Kleppner’s condition is satisfied. This generalizes a result of Packer for countable nilpotent groups. We also consider a larger class of groups, for which we can show that the corresponding reduced twisted group
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$C^{\ast }$
-algebra associated with a discrete FC-hypercentral group is simple (respectively, has a unique tracial state) if and only if Kleppner’s condition is satisfied. This generalizes a result of Packer for countable nilpotent groups. We also consider a larger class of groups, for which we can show that the corresponding reduced twisted group
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| identifier | ISSN: 0143-3857 |
| ispartof | Ergodic theory and dynamical systems, 2016-09, Vol.36 (6), p.1743-1756 |
| issn | 0143-3857 1469-4417 |
| language | eng |
| recordid | cdi_cambridge_journals_10_1017_etds_2015_9 |
| source | Cambridge University Press Journals Complete |
| title | On twisted group $C^{\ast }$ -algebras associated with FC-hypercentral groups and other related groups |
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