Non-commutative Simplicial Complexes and the Baum-Connes Conjecture
Operator Algebras
2007-05-23 v1 Geometric Topology
Abstract
We associate a non-commutative -algebra with any locally finite simplicial complex. We determine the -theory of these algebras and show that they can be used to obtain a conceptual explanation for the Baum-Connes conjecture.
Keywords
Cite
@article{arxiv.math/0103219,
title = {Non-commutative Simplicial Complexes and the Baum-Connes Conjecture},
author = {Joachim Cuntz},
journal= {arXiv preprint arXiv:math/0103219},
year = {2007}
}