Spectral triples on the Jiang-Su algebra

Abstract

We construct spectral triples on a class of particular inductive limits of matrix-valued function algebras. In the special case of the Jiang-Su algebra we employ a particular $AF$-embedding.

References in corpus (4)

• Spectral triples for AF C*-algebras and metrics on the Cantor set
• The Dirac operator on compact quantum groups
• Dirac Operators on Quantum Projective Spaces
• Spectral triples for noncommutative solenoidal spaces from self-coverings