Non-commutative Simplicial Complexes and the Baum-Connes Conjecture
Joachim Cuntz
math.OAarXiv:math/0103219
Abstract
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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