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Index theory for locally compact noncommutative geometries

Carey, Alan; Gayral, V.; Rennie, Adam; Sukochev, Fedor A

Description

Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital algebras, without the assumption of local units in our algebra. This formula has been successfully used to calculate index pairings in numerous noncommutative examples. The absence of any other effective method of investigating index problems in geometries that are genuinely noncommutative, particularly in the...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Book
URI: http://hdl.handle.net/1885/28501
DOI: 10.1090/memo/1085

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