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arxiv: 1007.4776 · v2 · pith:ZROEARDBnew · submitted 2010-07-27 · 🧮 math.KT · math.AT· math.CT

A note on K-theory and triangulated derivators

classification 🧮 math.KT math.ATmath.CT
keywords k-theoryderivatoralgebrascannotcomparisonconjecturesderivatorsdifferential
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In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis's comparison and localization conjectures for derivator K-theory cannot be simultaneously true.

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