Construction of spectral triples starting from Fredholm modules;Construction de triplets spectraux à partir de modules de Fredholm

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 10, 1998, Pages 1195-1199

  Schrohe, Elmar ^a   Walze, Markus ^b   Warzecha, Jan Martin ^c  

^a UNIVERSITY OF POTSDAM   (Germany)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^c JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032066970     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(98)80226-7     Document Type: Article

References (7)

1. [1] Connes A., Compact metric spaces, Fredholm modules, and hyperfiniteness, Ergod. Th. and Dynam. Sys. 9 (1989) 207-220.
2. [2] Connes A., Caractères de représentations θ-sommables des groupes discrets, C. R. Acad. Sci. Paris 312 Série I (1991) 661-666.
3. [3] Connes A., Noncommutative Geometry, Academic Press, New York-London-Tokyo, 1994.
4. [4] Löwner K., Über monotone Matrixfunktionen. Math. Z. 38 (1934) 177-216.
5. [5] Rotfel'd. S.Yu., The singular values of the sum of completely continuous operators, In: Birman Sh. (Ed.), Spectral Theory. Topics in Mathematical Physics, Vol. 3, Consultants Bureau, New York-London 1963, pp. 73-78.
6. [6] Schrohe E., Walze M., Warzecha J.-M., Lifting bounded Fredholm modules to spectral triples (en préparation).
7. [7] Voiculescu D., On the existence of quasicentral approximate units relative to normed ideals. Part I, J. Funct. Anal. 91 (1990) 1-36.