ON QUANTUM SEMIGROUP ACTIONS ON FINITE QUANTUM SPACES

DOI10.1142/S0219025709003768zbMath1178.58002arXiv0810.0596OpenAlexW2963093334MaRDI QIDQ3643571

Piotr M. Sołtan

Publication date: 9 November 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0596

zbMATH Keywords

quantum groupinvariant stateactionquantum semigroup

Mathematics Subject Classification ID

Noncommutative topology (46L85) Geometry of quantum groups (58B32) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (7)

QUANTUM ISOMETRY GROUPS OF SYMMETRIC GROUPS ⋮ Extended de Finetti theorems for boolean independence and monotone independence ⋮ A note on the quantum family of maps ⋮ Quantum group of automorphisms of a finite quantum group ⋮ Quantum isometry groups of noncommutative manifolds associated to group \(C^{*}\)-algebras ⋮ A noncommutative de Finetti theorem for Boolean independence ⋮ General de Finetti type theorems in noncommutative probability

Cites Work

• Non-commutative Poisson boundaries and compact quantum group actions
• Compact matrix pseudogroups
• Quantum spheres
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Quantum symmetry groups of finite spaces
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
• A new approach to induction and imprimitivity results
• Introduction to Quantum Groups

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