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K-theory for ring C*-algebras attached to function fields with only one infinite place
Published online by Cambridge University Press: 31 January 2012
Abstract
We study the K-theory of ring C*-algebras associated to rings of integers in global function fields with only a single infinite place. First, we compute the torsion-free part of the K-groups of these ring C*-algebras. Secondly, we show that, under a certain primeness condition, the torsion part of K-theory determines the inertia degrees at infinity of our function fields.
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- Copyright © ISOPP 2011
References
Cun.Cuntz, J., C*-algebras associated with the ax + b-semigroup over ℕ (English), Cortiñas, Guillermo et al. (ed.), K-theory and noncommutative geometry. Proceedings of the ICM 2006 satellite conference, Valladolid, Spain, August 31-September 6, 2006. Zürich: Euro. Math. Soc. (EMS). Series of Congress Reports, 201–215 (2008).Google Scholar
Cu-Li1.Cuntz, J. and Li, X., The regular C*-algebra of an integral domain, in Quanta of Maths, Clay Math. Proc. 11, Amer. Math. Soc., Providence, RI, 2010, 149–170.Google Scholar
Cu-Li2.Cuntz, J. and Li, X., C*-algebras associated with integral domains and crossed products by actions on adele spaces, Journal of Noncommutative Geometry 5 (2011), 1–37.Google Scholar
Cu-Li3.Cuntz, J. and Li, X., K-theory for ring C*-algebras attached to polynomial rings over finite fields, Journal of Noncommutative Geometry 5 (2011), 331–349.Google Scholar
Hi-Ro.Higson, N. and Roe, J., Analytic K-Homology, Oxford University Press, New York, 2000.Google Scholar
Neu.Neukirch, J., Algebraic number theory, Die Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Berlin, 1999.Google Scholar
P-V.Pimsner, M. and Voiculescu, D., Exact sequences for K-groups and Ext-groups of certain cross-product C*-algebras, J. Operator Theory 4 (1980), 93–118.Google Scholar
Weil.Weil, A., Basic number theory, Reprint of the 1974 Edition, Springer-Verlag, Berlin Heidelberg New York, 1995.Google Scholar