On homotopization of the unitary $K_1$-functor

DOI10.1090/S1061-0022-09-01071-1zbMath1206.19001MaRDI QIDQ3079273

V. I. Kopeiko

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

unitary grouphyperbolic ringsring with involutionHigman's trickhomotopization of a functorKaroubi--Villamayor functors

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (K_1) of group rings and orders (19B28)

Related Items (2)

Transfer of the unitary $K_1$-functor under polynomial extensions ⋮ Bass' nilpotent unitary \(K_1\)-group of unitary ring

Cites Work

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• Polynomial extensions and excision for \(K_1\)
• Le théorème fondamental de la K-théorie hermitienne
• \(A^1\)-representability of hermitian \(K\)-theory and Witt groups
• Nil K-Theory Maps to Cyclic Homology
• K-Theory of Forms. (AM-98)
• KV-Theory of Categories
• Karoubi-Villamayor K-Theory is not Homotopy Quillen Theory
• 𝐾-theory of a space with coefficients in a (discrete) ring

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