STRONG NOVIKOV CONJECTURE FOR LOW DEGREE COHOMOLOGY AND EXOTIC GROUP C*-ALGEBRAS

Antonini, Paolo and Buss, Alcides and Engel, Alexander and Siebenand, Timo (2021) STRONG NOVIKOV CONJECTURE FOR LOW DEGREE COHOMOLOGY AND EXOTIC GROUP C*-ALGEBRAS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 374 (7). pp. 5071-5093. ISSN 0002-9947, 1088-6850

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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 holds for many other exotic group C*-algebras, in particular the one associated to the smallest strongly Morita compatible and exact crossed product functor used in the new version of the Baum-Connes conjecture. To achieve this we provide a Fell absorption principle for certain exotic crossed product functors.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 13 Sep 2022 14:35
Last Modified: 13 Sep 2022 14:35
URI: https://pred.uni-regensburg.de/id/eprint/47366

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