The Novikov conjecture and extensions of coarsely embeddable groups

  • Jintao Deng

    Texas A&M University, College Station, USA; University of Waterloo, Canada
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Abstract

Let be a short exact sequence of countable discrete groups and let be any --algebra. In this paper, we show that the strong Novikov conjecture with coefficients in holds for such a group when the normal subgroup and the quotient group are coarsely embeddable into Hilbert spaces. As a result, the group satisfies the Novikov conjecture under the same hypothesis on and .

Cite this article

Jintao Deng, The Novikov conjecture and extensions of coarsely embeddable groups. J. Noncommut. Geom. 16 (2022), no. 1, pp. 265–310

DOI 10.4171/JNCG/437