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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1987 May;84(10):3095–3096. doi: 10.1073/pnas.84.10.3095

Algebraic K-theory of discrete subgroups of Lie groups

F T Farrell †, L E Jones ‡
PMCID: PMC304814  PMID: 16593834

Abstract

Let G be a Lie group (with finitely many connected components) and Γ be a discrete, cocompact, torsion-free subgroup of G. We rationally calculate the algebraic K-theory of the integral group ring ZΓ in terms of the homology of Γ with trivial rational coefficients.

Keywords: chamber, geodesic flow, foliated control, pseudo-isotopy, homology

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Farrell F. T., Jones L. E. Algebraic K-theory of spaces stratified fibered over hyperbolic orbifolds. Proc Natl Acad Sci U S A. 1986 Aug;83(15):5364–5366. doi: 10.1073/pnas.83.15.5364. [DOI] [PMC free article] [PubMed] [Google Scholar]

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