Index theory for locally compact noncommutative geometries

Index theory for locally compact noncommutative geometries / A.L. Carey, V. Gayral, A. Rennie, F.A. Sukochev.

Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors 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...

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Bibliographic Details
Main Authors: Carey, Alan L. (Author), Gayral, V. (Victor), 1979- (Author), Rennie, A. (Adam Charles), 1971- (Author), Sukochev, F. A. (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2014.
Series:Memoirs of the American Mathematical Society ; no. 1085.
Subjects:
Index theory (Mathematics)
Geometry.
Noncommutative algebras.
geometry.
Geometry
Noncommutative algebras
Online Access:Click for online access
Description
Summary:Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors 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 nonunital situation, was a primary motivation for this study and the authors illustrate this.
Item Description:"Volume 231, number 1085 (second of 5 numbers), September 2014."
Physical Description:1 online resource (v, 130 pages)
Bibliography:Includes bibliographical references (pages 125-127) and index.
ISBN:9781470417215
1470417219
ISSN:0065-9266 ;
Language:English.
Source of Description, Etc. Note:Print version record.

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