The coarse Baum--Connes conjecture and groupoids II

2010/05/03 by Jean-Louis Tu, Tu, Jean-Louis
Mathematics · #19K56 #46L80 #46L85 (Secondary) #58J22 (Primary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Geometric and Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.KT #math.OA #msc:19K56 #msc:46L80 #msc:46L85 #msc:58J22

paper · pdf · doi:10.48550/arxiv.1005.0407

26 pages

arxiv created 2010/05/03 · openalex publication_date 2010/05/03 · arxiv updated 2010/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a (not necessarily discrete) proper metric space M with bounded geometry, we define a groupoid G(M). We show that the coarse Baum--Connes conjecture with coefficients, which states that the assembly map with coefficients for G(M) is an isomorphism, is hereditary by taking closed subspaces.

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