Metric sparsification and operator norm localization
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Publication:932168
DOI10.1016/j.aim.2008.03.016zbMath1148.46040arXiv0711.2093OpenAlexW2039650233MaRDI QIDQ932168
Xiaoman Chen, Romain Tessera, Guo-Liang Yu, Xian-Jin Wang
Publication date: 10 July 2008
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.2093
(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35)
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Cites Work
- Unnamed Item
- Equivariant KK-theory and the Novikov conjecture
- The Novikov conjecture for groups with finite asymptotic dimension
- Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
- On asymptotic dimension of groups
- The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- Geometrization of the Strong Novikov Conjecture for residually finite groups
- Coarse cohomology and index theory on complete Riemannian manifolds