Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry
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| Creator |
Brenken, B.
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| 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.
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| Date |
2019-02-10T18:11:16Z
2019-02-10T18:11:16Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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