Non-commutative Simplicial Complexes and the Baum-Connes Conjecture

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We associate a non-commutative $C^*$-algebra with any locally finite simplicial complex. We determine the $K$-theory of these algebras and show that they can be used to obtain a conceptual explanation for the Baum-Connes conjecture.

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Operator Algebras, Geometric Topology, 46L85, 58B30, 19K99, 19L47

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http://salesiana.dossiersoluciones.com/handle/123456789/61176

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103219
 http://arxiv.org/abs/math/0103219

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arXiv