Motivic strict ring models for K-theory

Details Motivic strict ring models for K-theory Motivic strict ring models for K-theory

2009-07-23

arxiv.org/abs/0907.4121v1

Mathematics

Algebraic Topology

16 pages, uses xypic

Scientific paper

It is shown that the K-theory of every noetherian base scheme of finite Krull dimension is represented by a strict ring object in the setting of motivic stable homotopy theory. The adjective `strict' is used to distinguish between the type of ring structure we construct and one which is valid only up to homotopy. Both the categories of motivic functors and motivic symmetric spectra furnish convenient frameworks for constructing the ring models. Analogous topological results follow by running the same type of arguments as in the motivic setting.

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