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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： 805
Net amount： 274 |
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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