Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry
Certain ∗-semigroups are associated with the universal C∗-algebra generated by a partial isometry, which is itself the universal C∗-algebra of a ∗-semigroup. A fundamental role for a ∗-structure on a semigroup is emphasized, and ordered and matricially ordered ∗-semigroups are introduced, along with...
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| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146684 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry / B. Brenken // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1466842019-02-11T01:24:25Z Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry Brenken, B. Certain ∗-semigroups are associated with the universal C∗-algebra generated by a partial isometry, which is itself the universal C∗-algebra of a ∗-semigroup. A fundamental role for a ∗-structure on a semigroup is emphasized, and ordered and matricially ordered ∗-semigroups are introduced, along with their universal C∗-algebras. The universal C∗-algebra generated by a partial isometry is isomorphic to a relative Cuntz-Pimsner C∗-algebra of a C∗-correspondence over the C∗-algebra of a matricially ordered ∗-semigroup. One may view the C∗-algebra of a partial isometry as the crossed product algebra associated with a dynamical system defined by a complete order map modelled by a partial isometry acting on a matricially ordered ∗-semigroup. 2014 Article Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry / B. Brenken // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L05; 46L08; 20M30; 06F05; 46L55 DOI:10.3842/SIGMA.2014.055 http://dspace.nbuv.gov.ua/handle/123456789/146684 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Certain ∗-semigroups are associated with the universal C∗-algebra generated by a partial isometry, which is itself the universal C∗-algebra of a ∗-semigroup. A fundamental role for a ∗-structure on a semigroup is emphasized, and ordered and matricially ordered ∗-semigroups are introduced, along with their universal C∗-algebras. The universal C∗-algebra generated by a partial isometry is isomorphic to a relative Cuntz-Pimsner C∗-algebra of a C∗-correspondence over the C∗-algebra of a matricially ordered ∗-semigroup. One may view the C∗-algebra of a partial isometry as the crossed product algebra associated with a dynamical system defined by a complete order map modelled by a partial isometry acting on a matricially ordered ∗-semigroup. |
| format |
Article |
| author |
Brenken, B. |
| spellingShingle |
Brenken, B. Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Brenken, B. |
| author_sort |
Brenken, B. |
| title |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry |
| title_short |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry |
| title_full |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry |
| title_fullStr |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry |
| title_full_unstemmed |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry |
| title_sort |
ordered ∗-semigroups and a c∗-correspondence for a partial isometry |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146684 |
| citation_txt |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry / B. Brenken // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT brenkenb orderedsemigroupsandaccorrespondenceforapartialisometry |
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2023-05-20T17:25:24Z |
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2023-05-20T17:25:24Z |
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1796153260533350400 |