Noncommutative Poincare duality for boundary actions of hyperbolic groups

Details Noncommutative Poincare duality for boundary actions of hyperbolic groups Noncommutative Poincare duality for boundary actions of hyperbolic groups

2004-05-20

arxiv.org/abs/math/0405387v1

J. reine angew. Math. 564 (2003), 1-33

Mathematics

Operator Algebras

Scientific paper

For a large class of word hyperbolic groups G the cross product C^*-algebra
arising from the action of G on its Gromov boundary is shown to satisfy
Poincare duality in K-theory. This class strictly contains fundamental groups
of compact, negatively curved manifolds. The Baum-Connes Conjecture for
amenable groupoids is used in a crucial way.

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