JournalsjncgVol. 15, No. 4pp. 1285–1322

LpL^p coarse Baum–Connes conjecture and KK-theory for LpL^p Roe algebras

  • Jianguo Zhang

    Fudan University, Shanghai, China

  • Dapeng Zhou

    East China Normal University, Shanghai, China
$L^p$ coarse Baum–Connes conjecture and $K$-theory for $L^p$ Roe algebras cover
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Abstract

In this paper, we verify the LpL^p coarse Baum–Connes conjecture for spaces with finite asymptotic dimension for p∈[1,∞)p\in[1,\infty). We also show that the KK-theory of LpL^p Roe algebras is independent of p∈(1,∞)p\in(1,\infty) for spaces with finite asymptotic dimension.

Cite this article

Jianguo Zhang, Dapeng Zhou, LpL^p coarse Baum–Connes conjecture and KK-theory for LpL^p Roe algebras. J. Noncommut. Geom. 15 (2021), no. 4, pp. 1285–1322

DOI 10.4171/JNCG/435