Metric sparsification and operator norm localization Academic Article uri icon

abstract

  • We study an operator norm localization property and its applications to the coarse Novikov conjecture in operator K-theory. In particular, we introduce a sufficient geometric condition (called metric sparsification) for the operator norm localization property. This is used to give many examples of finitely generated groups with infinite asymptotic dimension and the operator norm localization property. We also show that a sequence of expanding graphs does not possess the operator norm localization property. © 2008 Elsevier Inc. All rights reserved.

author list (cited authors)

  • Chen, X., Tessera, R., Wang, X., & Yu, G.

citation count

  • 20

complete list of authors

  • Chen, Xiaoman||Tessera, Romain||Wang, Xianjin||Yu, Guoliang

publication date

  • August 2008