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CCAP for universal discrete quantum groups (Q742867)

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Language	Label	Description	Also known as
English	CCAP for universal discrete quantum groups	scientific article

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scholarly article

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CCAP for universal discrete quantum groups (English)

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zbMATH Open document ID

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10.1007/s00220-014-2052-7

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Kenny De Commer

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Makoto Yamashita

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Communications in Mathematical Physics

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publication date

19 September 2014

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full work available at URL

https://arxiv.org/abs/1306.6064

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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The free compact quantum group \(U(n)\)

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Quantum groups and Fuss-Catalan algebras

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Amenability and co-amenability of algebraic quantum groups II.

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Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups

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Embeddings of reduced free products of operator algebras.

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Amalgamated free product type III factors with at most one Cartan subalgebra

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Approximation properties for free orthogonal and free unitary quantum groups

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Reduced operator algebras of trace-preserving quantum automorphism groups

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Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory

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Almost periodic states and factors of type III\(_1\)

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Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)

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Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one

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Multipliers of locally compact quantum groups via Hilbert <i>C</i> *-modules

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A note on the von Neumann algebra underlying some universal compact quantum groups

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Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries

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Pairing and quantum double of multiplier Hopf algebras

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Examples of weakly amenable discrete quantum groups

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An example of a non nuclear C*-algebra, which has the metric approximation property

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Quantum real projective space, disc and spheres

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Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors

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Examples of factors which have no Cartan subalgebras

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On Bi-exactness of Discrete Quantum Groups

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Approximation properties for KAC algebras

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C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups

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On a class of II\(_1\) factors with at most one Cartan subalgebra

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Quantum deformation of Lorentz group

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Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups

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Irreducible unitary representations of quantum Lorentz group

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An analytic family of uniformly bounded representations of free groups

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Khintchine type inequalities for reduced free products and applications

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Amenability of Hopf von Neumann algebras and Kac algebras

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Infinitesimal Generators on the Quantum Group <font>SU</font><sub>q</sub>(2)

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Quantum \(\mathrm{SO}(3)\) groups and quantum group actions on \(M_{2}\)

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The boundary of universal discrete quantum groups, exactness, and factoriality

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An algebraic framework for group duality

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UNIVERSAL QUANTUM GROUPS

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Orientation of quantum Cayley trees and applications

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The Baum-Connes conjecture for free orthogonal quantum groups

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Free products of compact quantum groups

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Quantum symmetry groups of finite spaces

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Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus

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Compact matrix pseudogroups

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