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Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory

Ioannis P. Zois
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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.

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Ioannis P. Zois. 2001-10-27. Black Hole Entropy, Topological Entropy and the Baum-Connes Conjecture in K-Theory. https://doi.org/10.1088/0305-4470%2F35%2F12%2F321

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