Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
We show that if a group is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing . The proofs are elementary and utilize free probability theory. In addition, we clarify the situation for *-algebras.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211735 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras. Vadim Alekseev and Andreas Thom. SIGMA 18 (2022), 052, 7 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862735895373807616 |
|---|---|
| author | Alekseev, Vadim Thom, Andreas |
| author_facet | Alekseev, Vadim Thom, Andreas |
| citation_txt | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras. Vadim Alekseev and Andreas Thom. SIGMA 18 (2022), 052, 7 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show that if a group is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing . The proofs are elementary and utilize free probability theory. In addition, we clarify the situation for *-algebras.
|
| first_indexed | 2026-04-17T16:29:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211735 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T16:29:41Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Alekseev, Vadim Thom, Andreas 2026-01-09T12:55:37Z 2022 Maximal Discrete Subgroups in Unitary Groups of Operator Algebras. Vadim Alekseev and Andreas Thom. SIGMA 18 (2022), 052, 7 pages 1815-0659 2020 Mathematics Subject Classification: 46L10; 22E40; 20F38 arXiv:2206.06704 https://nasplib.isofts.kiev.ua/handle/123456789/211735 https://doi.org/10.3842/SIGMA.2022.052 We show that if a group is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing . The proofs are elementary and utilize free probability theory. In addition, we clarify the situation for *-algebras. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Maximal Discrete Subgroups in Unitary Groups of Operator Algebras Article published earlier |
| spellingShingle | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras Alekseev, Vadim Thom, Andreas |
| title | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras |
| title_full | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras |
| title_fullStr | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras |
| title_full_unstemmed | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras |
| title_short | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras |
| title_sort | maximal discrete subgroups in unitary groups of operator algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211735 |
| work_keys_str_mv | AT alekseevvadim maximaldiscretesubgroupsinunitarygroupsofoperatoralgebras AT thomandreas maximaldiscretesubgroupsinunitarygroupsofoperatoralgebras |