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Azumaya algebras with involutions

✍ Scribed by M.-A Knus; R Parimala; V Srinivas

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 842 KB
Volume: 130
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(90)90100-3

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An algebra \(R\) with anti-isomorphism ( \({ }^{*}\) ) is shown to be Azumaya if (*) is given by an element of \(R \otimes R^{\text {op }}\); in particular, this is the case if the canonical map \(R \otimes_{C} R^{\text {op }} \rightarrow \operatorname{End}_{C}(R)\) is onto. Consequently, the existe

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