Non-commutative Simplicial Complexes and the Baum-Connes Conjecture

Details Non-commutative Simplicial Complexes and the Baum-Connes Conjecture Non-commutative Simplicial Complexes and the Baum-Connes Conjecture

2001-03-30

arxiv.org/abs/math/0103219v1

Mathematics

Operator Algebras

Scientific paper

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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