Nonunital spectral triples associated to degenerate metrics

Reviews in Mathematical Physics

Volumn 16, Issue 1, 2004, Pages 125-146

  Rennie, A ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Index theorem; K homology; K theory; Spectral triples

Indexed keywords

EID: 13844269158     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X04001923     Document Type: Article

References (14)

1. A. Connes and H. Moscovici, The local index formula in noncommutative geometry, Geom. Fund. Anal. 5 (1995), 174-243.
2. A. Rennie, Smoothness and locality for nonunital spectral triples, K-Theory 28(2) (2003), 127-165.
3. A. Rennie, Summability for nonunital spectral triples, to appear in K-Theory.
4. J. M. Gracia-Bondía, J. C. Varilly and H. Figueroa, Elements of Noncommutative Geometry (Birkhauser, Boston, 2001).
5. A. Connes, Geometry from the spectral point of view, Lett. Math. Phys. 34 (1995), 203-238.
6. H. Lawson and M. Michelsohn, Spin Geometry (Princeton University Press, 1989).
7. N. Higson and J. Roe, Analytic K-Homology, Oxford Mathematical Monographs (Oxford University Press, New York, 2000).
8. R. T. Seeley, Complex powers of an elliptic operator, Proc. Symp. Pure Math. 10 (1967), 288-307.
9. A. Connes, Noncommutative Geometry (Academic Press, 1994).
10. M. Wodzicki, Noncommutative Residue. Chapter I: Fundamentals, Lecture Notes in Mathematics, 1289 (Springer, Berlin, 1987), pp. 320-399.
11. M. Reed and B. Simon, Functional Analysis (Academic Press, 1980).
12. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I (Interscience, New York, 1931).
13. E. D. Rainville, Special Functions (The MacMillan Company, New York, 1960).
14. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers (Clarendon Press, Oxford, 1960).