K-theory and the Enriched Tits Building
Algebraic Geometry
2015-03-17 v2 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.1004.4779,
title = {K-theory and the Enriched Tits Building},
author = {M. V. Nori and V. Srinivas},
journal= {arXiv preprint arXiv:1004.4779},
year = {2015}
}
Comments
51 pages, paper submitted to volume of Documenta Mathematica dedicated to A. A. Suslin. Includes changes made based on referee's report. Reference to Rognes work added