Decomposition of Topological Azumaya Algebras with Orthogonal Involution
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915733073559552 |
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| author | Arcila-Maya, Niny |
| author_facet | Arcila-Maya, Niny |
| contents | Let $\mathcal{A}$ be a topological Azumaya algebra of degree $mn$ with an orthogonal involution over a CW complex $X$ of dimension less than or equal to $\min\{m,n\}$. We give conditions for the positive integers $m$ and $n$ so that $\mathcal{A}$ can be decomposed as the tensor product of topological Azumaya algebras of degrees $m$ and $n$ with orthogonal involutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_06720 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Decomposition of Topological Azumaya Algebras with Orthogonal Involution Arcila-Maya, Niny Algebraic Topology 55P99 (Primary), 55Q52, 55S45, 16H05, 16W10 (Secondary) Let $\mathcal{A}$ be a topological Azumaya algebra of degree $mn$ with an orthogonal involution over a CW complex $X$ of dimension less than or equal to $\min\{m,n\}$. We give conditions for the positive integers $m$ and $n$ so that $\mathcal{A}$ can be decomposed as the tensor product of topological Azumaya algebras of degrees $m$ and $n$ with orthogonal involutions. |
| title | Decomposition of Topological Azumaya Algebras with Orthogonal Involution |
| topic | Algebraic Topology 55P99 (Primary), 55Q52, 55S45, 16H05, 16W10 (Secondary) |
| url | https://arxiv.org/abs/2212.06720 |