Equivariant deformations of homogeneous spaces

DOI10.1006/jfan.1996.3082zbMath0882.22005OpenAlexW2016247873MaRDI QIDQ1368856

Magnus B. Landstad, Iain Raeburn

Publication date: 1 October 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3082

zbMATH Keywords

homogeneous spacesHeisenberg manifolds\(C^*\)-algebraic deformationsRieffel's simplicity results

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Group structures and generalizations on infinite-dimensional manifolds (58B25) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (4)

Traces on noncommutative homogeneous spaces ⋮ Metric aspects of noncommutative homogeneous spaces ⋮ Deformation of \(C^\ast\)-algebras by cocycles on locally compact quantum groups ⋮ Proper actions, fixed-point algebras and naturality in nonabelian duality

Cites Work

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• Non-commutative lens spaces
• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• \(K\)-groups of \(C^*\)-algebras deformed by actions of \(\mathbb{R}^ d\)
• The primitive ideal space of two-step nilpotent group \(C^*\)-algebras
• Deformation quantization of Heisenberg manifolds
• Twisted dual-group algebras: Equivariant deformations of \(C_ 0(G)\)
• Generalized fixed-point algebras of certain actions on crossed products
• NON-COMMUTATIVE SPHERES I
• Deformation quantization for actions of 𝑅^{𝑑}
• Trivial fixed point subalgebras of the rotation algebra.
• "Vector bundles" over quantum Heisenberg manifolds
• QUANTIZATIONS ARISING FROM ABELIAN SUBGROUPS

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