LOCALIZATION ALGEBRAS AND DUALITY
Published online by Cambridge University Press: 24 March 2003
Abstract
The paper studies the dual algebras of localization Roe algebras over proper metric spaces and develops a localization version of Paschke duality for $K$ -homology. It is shown that the localization $K$ -homology groups are isomorphic to Kasparov's $K$ -homology groups for the Rips complex of proper metric spaces with bounded geometry. It follows that the obstruction groups to the coarse Baum–Connes conjecture can also be derived from the dual localization algebras.
- Type
- Notes and Papers
- Information
- Copyright
- The London Mathematical Society, 2002
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