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arXiv · 2212.06720

Decomposition of Topological Azumaya Algebras with Orthogonal Involution

Niny Arcila-Maya
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Abstract

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.

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Niny Arcila-Maya. 2022-12-13. Decomposition of Topological Azumaya Algebras with Orthogonal Involution. https://doi.org/10.1016/j.jpaa.2026.108350

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