The Baum-Connes conjecture: an extended survey
Maria Paula Gomez Aparicio, Pierre Julg, and Alain Valette
TL;DR
This paper provides a comprehensive overview of the Baum-Connes conjecture, including its history, the methods used to study it, its current status, and the mathematical developments it has inspired.
Contribution
It offers an extended survey that consolidates existing knowledge and highlights recent progress and open problems related to the Baum-Connes conjecture.
Findings
Historical development of the conjecture
Summary of key methods and approaches
Current status and open questions
Abstract
We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.
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Taxonomy
Topicsgraph theory and CDMA systems · Advanced Combinatorial Mathematics · Mathematics and Applications