Quantum lens spaces and principal actions on graph C*-algebras

• Autorzy: Wojciech Szymański
• Języki publikacji: EN

Abstrakty

EN

We study certain principal actions on noncommutative C*-algebras. Our main examples are the $ℤ_p$- and 𝕋-actions on the odd-dimensional quantum spheres, yielding as fixed-point algebras quantum lens spaces and quantum complex projective spaces, respectively. The key tool in our analysis is the relation of the ambient C*-algebras with the Cuntz-Krieger algebras of directed graphs. A general result about the principality of the gauge action on graph algebras is given.

Kategorie tematyczne

• 46L55: Noncommutative dynamical systems
• 46L65: Quantizations, deformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 61
• Numer: 1
• Strony: 299-304

Daty

wydano

2003

Twórcy

autor

Wojciech Szymański

• School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia

Identyfikatory

DOI

10.4064/bc61-0-18