K-Theory and the Enriched Tits Building

  • M.V. Nori

  • V. Srinivas


Motivated by the splitting principle, we define certain simplicial complexes associated to an associative ring , which have an action of the general linear group . This leads to an exact sequence, involving Quillen's algebraic K-groups of and the symbol map. Computations in low degrees lead to another view on Suslin's theorem on the Bloch group, and perhaps show a way towards possible generalizations.