Bivariant K-theory of locally convex Z-graded algebras
In the present work, we describe some results about the K-theory of Z-graded algebras. First, in the context of C* algebras, we begin with the Pimsner-Voiculescu sequence for crossed products and its generalizations. We will see that there are results analog to these in the context of locally convex...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2022-07-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4500 |
| _version_ | 1828353656429215744 |
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| author | Julio Gutierrez |
| author_facet | Julio Gutierrez |
| author_sort | Julio Gutierrez |
| collection | DOAJ |
| description | In the present work, we describe some results about the K-theory of Z-graded algebras. First, in the context of C* algebras, we begin with the Pimsner-Voiculescu sequence for crossed products and its generalizations. We will see that there are results analog to these in the context of locally convex algebras and we conclude with results for generalized Weyl algebras. |
| first_indexed | 2024-04-14T02:11:02Z |
| format | Article |
| id | doaj.art-1678ed585c644a2f9c287af18a89491e |
| institution | Directory Open Access Journal |
| issn | 2411-1783 |
| language | Spanish |
| last_indexed | 2024-04-14T02:11:02Z |
| publishDate | 2022-07-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-1678ed585c644a2f9c287af18a89491e2022-12-22T02:18:24ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832022-07-0190116717210.17268/sel.mat.2022.01.14Bivariant K-theory of locally convex Z-graded algebrasJulio Gutierrez0https://orcid.org/0000-0002-2536-6055Pontificia Universidad Católica del Perú, Lima, Perú.In the present work, we describe some results about the K-theory of Z-graded algebras. First, in the context of C* algebras, we begin with the Pimsner-Voiculescu sequence for crossed products and its generalizations. We will see that there are results analog to these in the context of locally convex algebras and we conclude with results for generalized Weyl algebras.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4500k-theoryz-graded algebraslocally convex algebrasgeneralized weyl algebras |
| spellingShingle | Julio Gutierrez Bivariant K-theory of locally convex Z-graded algebras Selecciones Matemáticas k-theory z-graded algebras locally convex algebras generalized weyl algebras |
| title | Bivariant K-theory of locally convex Z-graded algebras |
| title_full | Bivariant K-theory of locally convex Z-graded algebras |
| title_fullStr | Bivariant K-theory of locally convex Z-graded algebras |
| title_full_unstemmed | Bivariant K-theory of locally convex Z-graded algebras |
| title_short | Bivariant K-theory of locally convex Z-graded algebras |
| title_sort | bivariant k theory of locally convex z graded algebras |
| topic | k-theory z-graded algebras locally convex algebras generalized weyl algebras |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4500 |
| work_keys_str_mv | AT juliogutierrez bivariantktheoryoflocallyconvexzgradedalgebras |