# The Baum-Connes conjecture: an extended survey

**Authors:** Maria Paula Gomez Aparicio, Pierre Julg, and Alain Valette

arXiv: 1905.10081 · 2019-05-27

## 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.

## Key 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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Source: https://tomesphere.com/paper/1905.10081