Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds

@article{Weinberger2013FinitePO,
  title={Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds},
  author={S. Weinberger and G. Yu},
  journal={arXiv: Operator Algebras},
  year={2013}
}
  • S. Weinberger, G. Yu
  • Published 2013
  • Mathematics
  • arXiv: Operator Algebras
  • In this paper, we study lower bounds on the K-theory of the maximal $C^*$-algebra of a discrete group based on the amount of torsion it contains. We call this the finite part of the operator K-theory and give a lower bound that is valid for a large class of groups, called the "finitely embeddable groups". The class of finitely embeddable groups includes all residually finite groups, amenable groups, Gromov's monster groups, virtually torsion free groups (e.g. $Out(F_n)$), and any group of… CONTINUE READING
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