On the quantitative coarse Baum-Connes conjecture with coefficients
Operator Algebras
2024-10-17 v1 K-Theory and Homology
Abstract
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 conjecture. And we prove that QCBC is derived by the coarse Baum-Connes conjecture with coefficients which provides many examples satisfying QCBC. In the end, we show QCBC can be reduced to the uniformly quantitative coarse Baum-Connes conjecture with coefficients of a sequence of bounded metric spaces.
Cite
@article{arxiv.2410.11929,
title = {On the quantitative coarse Baum-Connes conjecture with coefficients},
author = {Jianguo Zhang},
journal= {arXiv preprint arXiv:2410.11929},
year = {2024}
}
Comments
30 pages; all comments are welcome! arXiv admin note: text overlap with arXiv:2410.11662