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math.AT2009★ 8 cited
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…
math.AT2008
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…