Derivations and spectral triples on quantum domains. I: Quantum disk

DOI10.3842/SIGMA.2017.075zbMath1391.46077arXiv1705.04005OpenAlexW2613890831WikidataQ64433308 ScholiaQ64433308MaRDI QIDQ1692173

Kaoru Sakai, Honglin Wang, Sumedha Rathnayake, Matt McBride, Sławomir Klimek-Chudy

Publication date: 26 January 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04005

zbMATH Keywords

spectral triplequantum diskinvariant and covariant derivations

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (7)

Derivations and reflection positivity on the quantum cylinder ⋮ Unbounded derivations in Bunce-Deddens-Toeplitz algebras ⋮ Noncommutative geometry of the quantum disk ⋮ Derivations and spectral triples on quantum domains. I: Quantum disk ⋮ UNBOUNDED DERIVATIONS IN ALGEBRAS ASSOCIATED WITH MONOTHETIC GROUPS ⋮ Derivations and spectral triples on quantum domains II: quantum annulus ⋮ A note on spectral triples on the quantum disk

Cites Work

• D-bar operators on quantum domains
• A Dirac type operator on the non-commutative disk
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Quantum Riemann surfaces. I: The unit disc
• Boundary value problems with Atiyah-Patodi-Singer type conditions and spectral triples
• Derivations and spectral triples on quantum domains. I: Quantum disk
• Boundaries, spectral triples and \(K\)-homology
• Local index formula on the equatorial Podleś sphere
• Asymptotic Toeplitz Operators
• CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)
• The 𝐶*-algebra generated by an isometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Derivations and spectral triples on quantum domains. I: Quantum disk