Algebraic K-theory of special groups |
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| Authors: | M. Dickmann F. Miraglia |
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| Affiliation: | a Équipe de Logique Mathématique, Université de Paris VII, France, Projet Topologie et Géométrie Algébriques, Institut de Mathématiques de Jussieu, Paris, France
b Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, C. P. 66.281 (Ag. Cidade São Paulo), 05311-970 S. Paulo, S.P., Brazil |
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| Abstract: | Following the introduction of an algebraic K-theory of special groups in [Dickmann and Miraglia, Algebra Colloq. 10 (2003) 149-176], generalizing Milnor's mod 2 K-theory for fields, the aim of this paper is to compute the K-theory of Boolean algebras, inductive limits, finite products, extensions, SG-sums and (finitely) filtered Boolean powers of special groups. A parallel theme is the preservation by these constructions of property [SMC], an analog for the K-theory of special groups of the property “multiplication by l(-1) is injective” in Milnor's mod 2 K-theory (see [Milnor, Invent. Math. 9 (1970) 318-344]). |
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| Keywords: | 11E81 11E70 12D15 06E99 |
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