Quantum Dimension and Quantum Projective Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• ISSN: 1815-0659
• Main Author: Matassa, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146544
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantum Dimension and Quantum Projective Spaces / M. Matassa // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.

We show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dąbrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into account the action of the element K₂ρ or its inverse. The spectral dimensio...