11 citations · 19 across the 4 of their papers we have counts for
4 papers
Motivic strict ring models for K-theory
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
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…
Homotopy theory of C*-algebras
Paul Arne Østvær
In this work we construct from ground up a homotopy theory of C*-algebras. This is achieved in parallel with the development of classical homotopy theory by first introducing an un…
Chern classes, K-theory and Landweber exactness over nonregular base schemes
Niko Naumann, Markus Spitzweck, Paul Arne Østvær
The purpose of this paper is twofold. First, we use the motivic Landweber exact functor theorem to deduce that the Bott inverted infinite projective space is homotopy algebraic …
Motivic Landweber Exactness
Niko Naumann, Paul Arne Østvær, Markus Spitzweck
We prove a motivic version of Landweber's exact functor theorem from topology. The main result is that the assignment given by a Landweber-type formula using the MGL-homology of a…