3 papers
math.OA2025
A localization algebra approach to the Baum-Connes conjecture for extensions
Jianguo Zhang
For an extension of discrete countable groups, it is known that the Baum-Connes conjecture with coefficients holds…
math.OA2024
On the quantitative coarse Baum-Connes conjecture with coefficients
Jianguo Zhang
In this paper, we introduce the quantitative coarse Baum-Connes conjecture with coefficients (or QCBC, for short) for proper metric spaces which refines the coarse Baum-Connes conj…
math.OA2024
The coarse Baum-Connes conjecture with filtered coefficients and product metric spaces
Jianguo Zhang
Inspired by the quantitative -theory, in this paper, we introduce the coarse Baum-Connes conjecture with filtered coefficients which generalizes the original conjecture. There a…