Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory
arXiv:math-ph/0109019 · doi:10.1088/0305-4470/35/12/321
Abstract
We shall try to exhibit a relation between black hole entropy and topological entropy using the famous Baum-Connes conjecture for foliated manifolds which are particular examples of noncommutative spaces. Our argument is qualitative and it is based on the microscopic origin of the Beckenstein-Hawking area-entropy formula for black holes, provided by superstring theory, in the more general noncommutative geometric context of M-Theory following the Connes- Douglas-Schwarz article.
17 pages, Latex, contains an important paragraph in section 2 which gives a better understanding