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Bounded and unbounded Fredholm modules for quantum projective spaces

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D'Andrea, Francesco [UCL] Landi, Giovanni

We construct explicit generators of the K-theory and K-homology of the coordinate algebras of functions on the quantum projective spaces. We also sketch a construction of unbounded Fredholm modules, that is to say Diraclike operators and spectral triples of any positive real dimension. Copyright © ISOPP 2010.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2010
Language Anglais
Journal information "Journal of K-Theory : k-theory and its applications to algebra, geometry, analysis and topology" - Vol. 6, no. 2, p. 231-240 (2010)
Peer reviewed yes
Publisher Cambridge University Press
e-issn 1865-5394
issn 1865-2433
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Links
  1. Cuntz, Operator Algebras and Group Representations, 124 (1984)
  2. D’andrea Francesco, Da̧browski Ludwik, Local Index Formula on the Equatorial Podleś Sphere, 10.1007/s11005-005-0047-1
  3. D'Andrea Francesco, Dąbrowski Ludwik, Landi Giovanni, Wagner Elmar, Dirac operators on all Podleś quantum spheres, 10.4171/jncg/5
  4. Hawkins Eli, Landi Giovanni, Fredholm modules for quantum Euclidean spheres, 10.1016/s0393-0440(03)00092-5
  5. Hong Jeong Hee, Szymański Wojciech, 10.1007/s00220-002-0732-1
  6. Vaksman, Leningrad Math. J., 2, 1023 (1991)
Bibliographic reference D'Andrea, Francesco ; Landi, Giovanni. Bounded and unbounded Fredholm modules for quantum projective spaces. In: Journal of K-Theory : k-theory and its applications to algebra, geometry, analysis and topology, Vol. 6, no. 2, p. 231-240 (2010)
Permanent URL http://hdl.handle.net/2078.1/163708