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arXiv · 1110.0127

Filtrations of simplicial functors and the Novikov Conjecture

Crichton Ogle
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Abstract

We show that the Strong Novikov Conjecture for the maximal C*-algebra C*(G) of a discrete group G is equivalent to a statement in topological K-theory for which the corresponding statement in algebraic K-theory is always true. We also show that for any group G, rational injectivity of the full assembly map for the topological K-theory of C*(G) follows from rational injectivity of the restricted assembly map.

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Crichton Ogle. 2011-10-01. Filtrations of simplicial functors and the Novikov Conjecture. https://arxiv.org/abs/1110.0127

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