A Note on Kasparov Product and Duality

Abstract

Using Paschke-Higson Duality [Hig][Pa], we get a natural index pairingKi(A)×Ki+1(DΦ) → Z where i = 0, 1(mod2) and A is a separable C ∗ -algebra, Φ is a representation of A on a separable Hilbert space H. We prove this is a special case of Kasparov Product [Kas]. 

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Cite this paper

@inproceedings{Lee2008ANO, title={A Note on Kasparov Product and Duality}, author={Hyun Ho Lee}, year={2008} }