Enlargeability and Index Theory : Infinite Covers

  title={Enlargeability and Index Theory : Infinite Covers},
  author={Bernhard Hanke and Thomas Schick},
In [5] we showed non-vanishing of the universal index elements in the K-theory of the maximal C∗-algebras of the fundamental groups of enlargeable spin manifolds. The underlying notion of enlargeability was the one from [3], involving contracting maps defined on finite covers of the given manifolds. In the paper at hand, we weaken this assumption to the one in [4] where infinite covers are allowed. The new idea is the construction of a geometrically given C∗-algebra with trace which encodes the… CONTINUE READING