Poincaré duality for Cuntz-Pimsner algebras

Title: Poincaré duality for Cuntz-Pimsner algebras
Creator: Rennie, Adam; Robertson, David; Sims, Aidan
Relation: Advances in Mathematics Vol. 347, Issue 30 April 2019, p. 1112-1172
Publisher Link: http://dx.doi.org/10.1016/j.aim.2019.02.032
Publisher: Academic Press
Resource Type: journal article
Date: 2019
Description: We present a new approach to Poincaré duality for Cuntz–Pimsner algebras. We provide sufficient conditions under which Poincaré self-duality for the coefficient algebra of a Hilbert bimodule lifts to Poincaré 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 (following Kaminker–Putnam) and crossed products of manifolds by isometries, and their non-commutative analogues.
Subject: poincare duality; Cuntz-Pimsner algebra; fundamental class
Identifier: http://hdl.handle.net/1959.13/1442953
Identifier: uon:41842
Identifier: ISSN:0001-8708
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format