• Corpus ID: 55940445

Poincare duality for Cuntz-Pimsner algebras of bimodules

  title={Poincare duality for Cuntz-Pimsner algebras of bimodules},
  author={Adam Graham Rennie and David Robertson and Aidan Sims},
  journal={arXiv: K-Theory and Homology},
We present a new approach to Poincare duality for Cuntz-Pimsner algebras. We provide sufficient conditions under which Poincare self-duality for the coefficient algebra of a Hilbert bimodule lifts to Poincare self-duality for the associated Cuntz-Pimsner algebra. With these conditions in hand, we can constructively produce fundamental classes in K-theory for a wide range of examples. We can also produce K-homology fundamental classes for the important examples of Cuntz-Krieger algebras… 

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