Categorical formulation of finite-dimensional C*-algebras
<p>We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras...
| Autor Principal: | |
|---|---|
| Formato: | Journal article |
| Idioma: | English |
| Publicado: |
2011
|
| Subjects: |
| _version_ | 1826282985427566592 |
|---|---|
| author | Vicary, J |
| author_facet | Vicary, J |
| author_sort | Vicary, J |
| collection | OXFORD |
| description | <p>We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras, contrasting with the conventional algebraic one.</p> |
| first_indexed | 2024-03-07T00:52:06Z |
| format | Journal article |
| id | oxford-uuid:86bd8b51-f56e-481c-aaa1-bac8c7b8785b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:52:06Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:86bd8b51-f56e-481c-aaa1-bac8c7b8785b2022-03-26T22:06:01ZCategorical formulation of finite-dimensional C*-algebrasJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:86bd8b51-f56e-481c-aaa1-bac8c7b8785bPhysical SciencesEnglishOxford University Research Archive - Valet2011Vicary, J<p>We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras, contrasting with the conventional algebraic one.</p> |
| spellingShingle | Physical Sciences Vicary, J Categorical formulation of finite-dimensional C*-algebras |
| title | Categorical formulation of finite-dimensional C*-algebras |
| title_full | Categorical formulation of finite-dimensional C*-algebras |
| title_fullStr | Categorical formulation of finite-dimensional C*-algebras |
| title_full_unstemmed | Categorical formulation of finite-dimensional C*-algebras |
| title_short | Categorical formulation of finite-dimensional C*-algebras |
| title_sort | categorical formulation of finite dimensional c algebras |
| topic | Physical Sciences |
| work_keys_str_mv | AT vicaryj categoricalformulationoffinitedimensionalcalgebras |