The methods of proofs for the Farrell-Jones Conjecture and the Baum-Conjecture are rather different. But both use controlled methods, see Section 19.4, Chapter 21, and [488]. In the Farrell-Jones setting transferswere a key ingredient, see Section 19.5 and Chapter 23, which do not seem to exist in the Baum-Connes setting.

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Analytic Methods

  • Wolfgang Lück

摘要

The methods of proofs for the Farrell-Jones Conjecture and the Baum-Conjecture are rather different. But both use controlled methods, see Section 19.4, Chapter 21, and [488]. In the Farrell-Jones setting transferswere a key ingredient, see Section 19.5 and Chapter 23, which do not seem to exist in the Baum-Connes setting.