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

DOI10.1017/S1446788711001273zbMath1228.46066MaRDI QIDQ3011594

Partha Sarathi Chakraborty

Publication date: 29 June 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

noncommutative geometryToeplitz algebracompact quantum metric spacePodleś quantum sphereweak* topologyquantum \(SU(2)\)order unit spaceLipschitz seminormC{*}-algebra extension

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

Spectral metric spaces on extensions of \(C^*\)-algebras ⋮ Operator algebras in India in the past decade

Cites Work

• Compact quantum metric spaces and ergodic actions of compact quantum groups
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• Compact metric spaces, Fredholm modules, and hyperfiniteness

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