Noncommutative balls and their doubles

DOI10.1007/s10582-006-0420-zzbMath1109.46060OpenAlexW1990038744MaRDI QIDQ871929

Jeong Hee Hong, Wojciech Szymański

Publication date: 27 March 2007

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10582-006-0420-z

zbMATH Keywords

\(C^*\)-algebraquantum spherenoncommutative ball

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Operator algebra methods applied to problems in quantum theory (81R15) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

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\(C^{\ast }\)-algebras associated to \(C^{\ast }\)-correspondences and applications to mirror quantum spheres ⋮ An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras

Cites Work

• Fredholm modules for quantum Euclidean spheres
• Twisted second quantization
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum spheres and projective spaces as graph algebras
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere