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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Motivic strict ring models for $ K$-theory


Authors: Oliver Röndigs, Markus Spitzweck and Paul Arne Østvær
Journal: Proc. Amer. Math. Soc. 138 (2010), 3509-3520
MSC (2010): Primary 14F42, 55P43; Secondary 19E08
Published electronically: May 10, 2010
MathSciNet review: 2661551
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Abstract: It is shown that the $ K$-theory of every noetherian base scheme of finite Krull dimension is represented by a commutative strict ring object in the setting of motivic stable homotopy theory. The adjective `strict' is used here in order to distinguish between the type of ring structure we construct and one which is valid only up to homotopy. An analogous topological result follows by running the same type of arguments as in the motivic setting.


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Additional Information

Oliver Röndigs
Affiliation: Institut für Mathematik, Universität Osnabrück, 49069 Osnabrück, Germany
Email: oroendig@math.uni-osnabrueck.de

Markus Spitzweck
Affiliation: Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
Email: markussp@math.uio.no

Paul Arne Østvær
Affiliation: Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
Email: paularne@math.uio.no

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10394-3
PII: S 0002-9939(10)10394-3
Received by editor(s): October 13, 2009
Received by editor(s) in revised form: January 19, 2010
Published electronically: May 10, 2010
Communicated by: Brooke Shipley
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.