Permanence Properties of the Baum-Connes Conjecture

@inproceedings{Chabert2001PermanencePO,
  title={Permanence Properties of the Baum-Connes Conjecture},
  author={J{\'e}r{\^o}me Chabert and S Echterhoff},
  year={2001}
}
In this paper we study the stability of the Baum-Connes conjecture with coefficients under various natural operations on the groups. We show that the class of groups satisfying this conjecture is stable under taking subgroups, Cartesian products, and more generally, under certain group extensions. In particular, we show that a group satisfies the conjecture if it has an amenable normal subgroup such that the associated quotient group satisfies the conjecture. We also study a natural induction… CONTINUE READING
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