Real Algebraic and Analytic Geometry |

Algebraic K-theory of Special Groups.

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Submission: 2003, November 15.

*Abstract:
Following the introduction of an algebraic K-theory of
special groups in \cite{DM3}, 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 \y K-theory of special groups of the property
``multiplication by l(- 1) is injective'' in Milnor's mod 2
K-theory (see \cite{Mi}).*

Mathematics Subject Classification (2000): 11E81, 11E70, 12D15, 06E99.

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