Characterization of spectral triples: A combinatorial approach

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We describe a general technique to study Dirac operators on noncommutative spaces under some additional assumptions. The main idea is to capture the compact resolvent condition in a combinatorial set up. Using this, we then prove that for a certain class of representations of the C^*-algebra C(SU_q(\ell+1)), any Dirac operator that diagonalises with respect to the natural basis of the underlying Hilbert space must have trivial sign.
v3: partly rewritten; the equivariant case has now been taken out and would be treated in a separate paper. v2: few typos corrected. LaTeX2e, uses xy-pic and eepic

Keywords

Operator Algebras, Combinatorics, Quantum Algebra, 58B34, 46L87, 19K33

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/67431

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305157
 http://arxiv.org/abs/math/0305157

Collections

arXiv