A remark on trace properties of K-cycles

Journal of Operator Theory

Volumn 35, Issue 1, 1996, Pages 179-189

  Cipriani, Fabio ^a   Guido, Daniele ^b   Scarlatti, Sergio ^b  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Dirac operator; Noncommutative geometry; Singular traces; Traces on K cycles

Indexed keywords

EID: 0000079433     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. S, ALBEVERIQ, D. GWDO, A. PONOSOV, S. SCARLATTI, Singular traces and compact operators. I, J. Funct. Anal, to appear.
2. A.L. BESSE, Manifolds all of whose Geodesies are Closed, Springer Verlag, Berlin-Heidelberg-New York, 1978.
3. O. BRATTELI, Derivations, Dissipations and Group Actions on C*-Algebras, Lecture Notes in Math., vol. 1229, Springer, New York, 1986.
4. O. BRATTELI, D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics. I, Springer, New York, 1979.
5. A. CoNNES, Compact metric spaces, Fredholm modules and hyperfinitness, Ergodic Theory Dinamical Systems 9(1989), 207-230.
6. A. CONNES, Non Commutative Geometry, Academic Press, New York, San Francisco, London, 1994.
7. A. CONNES, Geometry from the spectral point of View, Lett. Math. Phys. 34(1995), 203-238.
8. A. CONNES, H. MOSCOVICI, Transgression du caractere de Chetn et cohomologie cyclique, C.R. Acad. Sci. Paris Sir. J Math. 303(1986), 913-918.
9. J. DlXMIER, Existence de traces non norrnales, C.R. Acad. Sci. Paris Sir. I Math. 262(1966).
10. J.J. DuiSTERMAAT, V.W. Guillemln, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29(1975), 39-79.
11. J.M. GRACIA-BONDIA, J.C. VARILLY, Connes' noncommutative differential geometry and the standard model, /. Geom. Phys, 12(1993), 223.
12. D. GuiDO, T. Isola, Singular traces on semifinite von Neumann algebras, J. Funct. Anal 134(1995), 451-485.
13. D. VoiCULESCU, On the existence of quasicentral approximate units relative to normed ideals, Part I, J. Funct. Anal. 91(1990), 1-36.