In this paper,the author verifies the lp coarse Baum-Connes conjecture for open cones and shows that the K-theory for lp Roe algebras of open cones is independent of p ∈[1,∞).Combined with the result of Fukaya and Oguni,he gives an application to the class of coarsely convex spaces that includes geodesic Gromov hyperbolic spaces,CAT(0)-spaces,certain Artin groups and Helly groups equipped with the word length metric.
K-Theorylp Roe algebrasOpen cones
Jianguo ZHANG
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School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China
Research Center for Operator Algebras,East China Normal University,Shanghai 200062,China
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