Journal of the Australian Mathematical Society

Table of Contents - February 2011 - Volume 90, Issue 01  

Research Article

FROM C*-ALGEBRA EXTENSIONS TO COMPACT QUANTUM METRIC SPACES, QUANTUM SU(2), PODLEŚ SPHERES AND OTHER EXAMPLES

PARTHA SARATHI CHAKRABORTYa1

a1 The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113, India (email: parthac@imsc.res.in)

Abstract

We construct compact quantum metric spaces starting from a C*-algebra extension with a positive splitting. As special cases, we discuss Toeplitz algebras, quantum SU(2) and Podleś spheres.

(Received July 20 2010)

(Accepted December 16 2010)

(Online publication June 09 2011)

2010 Mathematics subject classification

  • primary 46L87; secondary 58B34

Keywords and phrases

  • quantum SU(2);
  • Podleś sphere;
  • compact quantum metric spaces

Footnotes

Communicated by V. Mathai

Dedicated to Alan Carey, on the occasion of his 60th birthday