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On the relation between K- and L-theory of $$C^*$$ C ∗ -algebras

Land, Markus ; Nikolaus, Thomas



Abstract

We prove the existence of a map of spectra between connective topological K-theory and connective algebraic L-theory of a complex -algebra A which is natural in A and compatible with multiplicative structures. We determine its effect on homotopy groups and as a consequence obtain a natural equivalence of periodic K- and L-theory spectra after inverting 2. We show that this equivalence extends to ...

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