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On homotopization of the unitary $ K_1$-functor

Author(s): V. I. Kopeĭko
Translated by: N. B. Lebedinskaya
Original publication: Algebra i Analiz, tom 20 (2008), nomer 5.
Journal: St. Petersburg Math. J. 20 (2009), 749-755.
MSC (2000): Primary 19B28
Posted: July 21, 2009
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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.

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Additional Information:

V. I. Kopeĭko
Affiliation: Kalmyk State University, 11 Pushkin Street, 358000 Elista, Russia
Email: kopeiko52@mail.ru

DOI: 10.1090/S1061-0022-09-01071-1
PII: S 1061-0022(09)01071-1
Keywords: Ring with involution, unitary group, homotopization of a functor, Higman's trick, Karoubi--Villamayor functors, hyperbolic rings
Received by editor(s): 10/SEP/2007
Posted: July 21, 2009
Copyright of article: Copyright 2009, American Mathematical Society

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