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Non-commutative Simplicial Complexes and the Baum-Connes Conjecture TeX Export

(30 Mar 2001)

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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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