Stability of unitary \(\text{SK}_1\) of Azumaya algebras.

DOI10.1007/s00013-011-0338-yzbMath1243.16021OpenAlexW1976852110MaRDI QIDQ663176

Roozbeh Hazrat

Publication date: 14 February 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0338-y

zbMATH Keywords

Azumaya algebrasreduced Whitehead groupsunitary involutionsvalued division algebras over Henselian fields

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Whitehead groups and (K_1) (19B99) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (1)

Comparability in the graph monoid

Cites Work

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• Division algebras over Henselian fields.
• \(\text{SK}_1\) of graded division algebras.
• \(\text{SK}_1\) of Azumaya algebras over Hensel pairs.
• Algebras over nonlocal Hensel rings
• Unitary SK₁ of graded and valued division algebras
• THE TANNAKA-ARTIN PROBLEM AND REDUCEDK-THEORY

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