QUANTUM GROUP-TWISTED TENSOR PRODUCTS OF C*-ALGEBRAS

DOI10.1142/S0129167X14500190zbMath1315.46076arXiv1305.0635OpenAlexW2969537867MaRDI QIDQ5414187

Sutanu Roy, Ralf Meyer, Stanisław Lech Woronowicz

Publication date: 2 May 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0635

zbMATH Keywords

crossed producttensor product\(C^\ast\)-algebratwisted tensor productHeisenberg pair

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items

Induced coactions along a homomorphism of locally compact quantum groups ⋮ On q-tensor products of Cuntz algebras ⋮ Quantum symmetries of the twisted tensor products of \(C^*\)-algebras ⋮ Anyonic quantum symmetries of finite spaces ⋮ Semidirect products of C*-quantum groups: multiplicative unitaries approach ⋮ Partial actions of \(C^{*}\)-quantum groups ⋮ Quantum E(2) groups for complex deformation parameters

Cites Work

• Rieffel deformation of group coactions
• Rieffel deformation via crossed products
• Equivariant Poincaré duality for quantum group actions
• General twisting of algebras.
• \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory)
• From multiplicative unitaries to quantum groups. II
• A new approach to induction and imprimitivity results
• A remark on manageable multiplicative unitaries