This article is cited in 2 papers

Research Papers

On homotopization of the unitary $K_1$-functor

V. I. Kopeĭko


Abstract: A unitary $K_1$-analog of the Karoubi–Villamayor functor is constructed, which solves the problem of homotopization of the unitary $K_1$-functor on the category of rings with involution.

Keywords: Ring with involution, unitary group, homotopization of a functor, Higman's trick, Karoubi–Villamayor functors, hyperbolic rings.

MSC: 19B28

Received: 10.09.2007

 English version: St. Petersburg Mathematical Journal, 2009, 20:5, 749–755

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