Year: 2014
Type: article
Abstract: We show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dabrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into account the action of the element K 2ρ or its inverse.The spectral dimension computed in this sense coincides with the dimension of the classical projective spaces.The connection with the well known notion of quantum dimension of quantum group theory is pointed out.
Author: Marco Matassa
Institution: Scuola Internazionale Superiore di Studi Avanzati
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2097631403