Open Cones and K-Theory for ℓp Roe Algebras

Citation:

Jianguo ZHANG.Open Cones and K-Theory for ℓp Roe Algebras[J].Chinese Annals of Mathematics B,2024,45(6):943~956
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Authors:

Jianguo ZHANG;

Foundation:

the National Natural Science Foundation of China (Nos. 12171156, 12271165, 12301154)
Abstract: In this paper, the author verifies the ?p coarse Baum-Connes conjecture for open cones and shows that the K-theory for ?p 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.

Keywords:

K-Theory, ℓp Roe algebras, Open cones

Classification:

19K99, 46H99
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