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Operator norm localization for linear groups and its application to K-theory
Authors:Erik Guentner  Romain Tessera  Guoliang Yu
Institution:aUniversity of Hawai‘i at Mānoa, Department of Mathematics, 2565 McCarthy Mall, Honolulu, HI 96822, United States;bVanderbilt University, Department of Mathematics, 1326 Stevenson Center, Nashville, TN 37240, United States
Abstract:We prove the operator norm localization property for linear groups. As an application we prove the coarse Novikov conjecture for box spaces of a linear group.
Keywords:Operator norm localization  Linear group  Coarse Novikov conjecture  Box space  Expander
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