C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type
A Hilbert C∗-quad module of finite type has a multistructure of Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra from a Hilbert C∗-quad module of finite type and prove its universality subject to certain relations among generators. Some examples of the C∗-algebras from Hilb...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/952068 |
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| _version_ | 1832549883456782336 |
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| author | Kengo Matsumoto |
| author_facet | Kengo Matsumoto |
| author_sort | Kengo Matsumoto |
| collection | DOAJ |
| description | A Hilbert C∗-quad module of finite type has a multistructure of
Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra
from a Hilbert C∗-quad module of finite type and prove its universality subject
to certain relations among generators. Some examples of the C∗-algebras from
Hilbert C∗-quad modules of finite type will be presented. |
| format | Article |
| id | doaj-art-bdae71fd43d94ecabc7b85cce4324b57 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bdae71fd43d94ecabc7b85cce4324b572025-02-03T06:08:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/952068952068C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite TypeKengo Matsumoto0Department of Mathematics, Joetsu University of Education, Joetsu 943-8512, JapanA Hilbert C∗-quad module of finite type has a multistructure of Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra from a Hilbert C∗-quad module of finite type and prove its universality subject to certain relations among generators. Some examples of the C∗-algebras from Hilbert C∗-quad modules of finite type will be presented.http://dx.doi.org/10.1155/2014/952068 |
| spellingShingle | Kengo Matsumoto C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type International Journal of Mathematics and Mathematical Sciences |
| title | C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type |
| title_full | C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type |
| title_fullStr | C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type |
| title_full_unstemmed | C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type |
| title_short | C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type |
| title_sort | c∗ algebras associated with hilbert c∗ quad modules of finite type |
| url | http://dx.doi.org/10.1155/2014/952068 |
| work_keys_str_mv | AT kengomatsumoto calgebrasassociatedwithhilbertcquadmodulesoffinitetype |