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

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 June 2011

PARTHA SARATHI CHAKRABORTY
PARTHA SARATHI CHAKRABORTY*
Affiliation:
The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113, India (email: [email protected])
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Abstract

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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.

Keywords

quantum SU(2)Podleś spherecompact quantum metric spaces

MSC classification

Secondary: 46L87: Noncommutative differential geometry
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 90 , Issue 1 , February 2011 , pp. 1 - 8
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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