2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents
Before showed in 1961 that every n-homogeneous C*-algebra is isomorphic to the algebra of all continuous sections for the appropriate algebraic bundle. The base space for the bundle is homeomorphic to the space of primitive ideals for the algebra in the appropriate topology. By using that we conside...
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| Format: | Article |
| Language: | Belarusian |
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Belarusian State University
2018-05-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
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| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/880 |
| _version_ | 1818156181489713152 |
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| author | Mikhail V. Shchukin |
| author_facet | Mikhail V. Shchukin |
| author_sort | Mikhail V. Shchukin |
| collection | DOAJ |
| description | Before showed in 1961 that every n-homogeneous C*-algebra is isomorphic to the algebra of all continuous sections for the appropriate algebraic bundle. The base space for the bundle is homeomorphic to the space of primitive ideals for the algebra in the appropriate topology. By using that we considered the 2-homogeneous C*-algebra A such that the space of primitive ideals of the algebra is homeomorphic to a two-dimensional compact oriented connected manifold. We constructed three idempotents from the algebra A that generated the algebra. |
| first_indexed | 2024-12-11T14:54:13Z |
| format | Article |
| id | doaj.art-1e6bd60979b24da3bd9526c5de850f4b |
| institution | Directory Open Access Journal |
| issn | 2520-6508 2617-3956 |
| language | Belarusian |
| last_indexed | 2024-12-11T14:54:13Z |
| publishDate | 2018-05-01 |
| publisher | Belarusian State University |
| record_format | Article |
| series | Журнал Белорусского государственного университета: Математика, информатика |
| spelling | doaj.art-1e6bd60979b24da3bd9526c5de850f4b2022-12-22T01:01:22ZbelBelarusian State UniversityЖурнал Белорусского государственного университета: Математика, информатика2520-65082617-39562018-05-011498802-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotentsMikhail V. Shchukin0Belarusian National Technical University, 65 Niezaliežnasci Avenue, Minsk 220013, BelarusBefore showed in 1961 that every n-homogeneous C*-algebra is isomorphic to the algebra of all continuous sections for the appropriate algebraic bundle. The base space for the bundle is homeomorphic to the space of primitive ideals for the algebra in the appropriate topology. By using that we considered the 2-homogeneous C*-algebra A such that the space of primitive ideals of the algebra is homeomorphic to a two-dimensional compact oriented connected manifold. We constructed three idempotents from the algebra A that generated the algebra.https://journals.bsu.by/index.php/mathematics/article/view/880c*-algebraidempotentfinite-dimensional irreducible representationsoperator algebrasnumber of gene rators |
| spellingShingle | Mikhail V. Shchukin 2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents Журнал Белорусского государственного университета: Математика, информатика c*-algebra idempotent finite-dimensional irreducible representations operator algebras number of gene rators |
| title | 2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents |
| title_full | 2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents |
| title_fullStr | 2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents |
| title_full_unstemmed | 2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents |
| title_short | 2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents |
| title_sort | 2 homogeneous c algebras with the space of primitive ideals homeomorphic to a two dimensional oriented compact connected manifold generated by idempotents |
| topic | c*-algebra idempotent finite-dimensional irreducible representations operator algebras number of gene rators |
| url | https://journals.bsu.by/index.php/mathematics/article/view/880 |
| work_keys_str_mv | AT mikhailvshchukin 2homogeneouscalgebraswiththespaceofprimitiveidealshomeomorphictoatwodimensionalorientedcompactconnectedmanifoldgeneratedbyidempotents |