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Open Cones and K-Theory for ℓp Roe Algebras |
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Citation: |
Jianguo ZHANG.Open Cones and K-Theory for ℓp Roe Algebras[J].Chinese Annals of Mathematics B,2024,45(6):943~956 |
Page view: 439
Net amount: 168 |
Authors: |
Jianguo ZHANG; |
Foundation: |
the National Natural Science Foundation of China (Nos. 12171156,
12271165, 12301154) |
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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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