Classical Poincaré duality says that there is a canonical isomorphism between the cohomology and homology of a compact manifold implemented by the cap-product with a certain fundamental class. Kasparov's KK-theory allows to formulate an analogue of Poincaré duality for noncommutative C*-algebras. We establish such a duality result for higher rank graph algebras.
Joint work with Iulian Popescu.
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Last updated May 25, 2005. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).