Index theory for locally compact noncommutative geometries
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, particularl…
Read More ↓Title Statements
- Full title :Index theory for locally compact noncommutative geometries / A.L. Carey, V. Gayral, A. Rennie, F.A. Sukochev.
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.
Read More ↓Edition Statements
- Publication Date:2014.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:2014.
Notes
"Volume 231, number 1085 (second of 5 numbers), September 2014."
The Physical Object
- Description:1 online resource (v, 130 pages)
Edition Identifiers
- ISBN:9781470417215, 1470417219
- oclc:ocn881688632
- LC Classification:QA614.92
- Dewey Decimal:514/.74
Table of Contents
Introduction -- Pseudodifferential calculus and summability -- Index pairings for semifinite spectral triples -- The local index formula for semifinite spectral triples -- Applications to index theorems on open manifolds -- Noncommutative examples -- Appendix A: Estimates and technical lemmas.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Learning mathematics and Logo
Geometric potential analysis
Geometric Potential Analysis
Analysis and geometry
Complex geometry and Lie theory
Excursions into mathematics
Geometry in Advanced Pure Mathematics
Hilbert's fourth problem
Files & Downloads
-
Index theory for locally compact noncommutative g…
PDF · 1.2 MB · updated
Rate & Review