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Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras

TitleStrong Novikov conjecture for low degree cohomology and exotic group C*-algebras
Publication TypeJournal Article
Year of Publication2019
AuthorsAntonini, P, Buss, A, Engel, A, Siebenand, T
JournalarXiv e-prints
PaginationarXiv:1905.07730
Date PublishedMay
KeywordsMathematics - K-Theory and Homology; Mathematics - Operator Algebras
Abstract

We strengthen a result of Hanke–Schick about the strong Novikov conjecture for low degree cohomology by showing that their non-vanishing result for the maximal group $C^*$-algebra even holds for the reduced group $C^*$-algebra. To achieve this we provide a Fell absorption principle for certain exotic crossed product functors.

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