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Non-commutative Simplicial Complexes and the Baum-Connes Conjectureby: Joachim Cuntz
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AbstractWe 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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