The coarse Baum–Connes conjecture along a factor with filtered coefficients
The coarse Baum–Connes conjecture along a factor with filtered coefficients
Let be a filtered -algebra, let and be proper metric spaces, and let be a locally finite net in . For each , let be the -Rips complex, and let denote the localization algebra along the first factor, while denotes the Roe algebra with filtered coefficients. The coarse Baum–Connes conjecture along with filtered coefficients. Evaluation at zero induces an isomorphism
This is a product-space version of the filtered-coefficient coarse Baum–Connes assertion, but the supplied text does not state whether it has been proved or disproved.
Sources & referencesView supporting material
Primary source
Jianguo Zhang, “The coarse Baum-Connes conjecture with filtered coefficients and product metric spaces”, arXiv:2410.11662 (2025).
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