Filtrations of simplicial functors and the Novikov Conjecture
K-Theory and Homology
2011-10-04 v1 Algebraic Topology
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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Cite
@article{arxiv.1110.0127,
title = {Filtrations of simplicial functors and the Novikov Conjecture},
author = {Crichton Ogle},
journal= {arXiv preprint arXiv:1110.0127},
year = {2011}
}
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29 pages