The Baum-Connes conjecture: an extended survey

2019/05/24 by Maria Paula Gomez Aparicio, Aparicio, Maria Paula Gomez, Pierre Julg +3 · 3 citations
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #Mathematics and Applications #Operator Algebras (math.OA) #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1905.10081

openalex publication_date 2019/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.

Cited by

• Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture
• A localization algebra approach to the Baum-Connes conjecture for extensions
• Rieffel projections and 2-by-2 matrices

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