Zobrazeno 1 - 10
of 81
pro vyhledávání: '"PINZARI, CLAUDIA"'
We discuss tensor categories motivated by CFT, their unitarizability and applications to various models including the affine VOAs. We discuss classification of type A Verlinde fusion categories. We propose an approach to Kazhdan-Lusztig-Finkelberg th
Externí odkaz:
http://arxiv.org/abs/2101.10016
We show that a natural notion of irreducibility implies connectedness in the Compact Quantum Group setting. We also investigate the converse implication and show it is related to Kaplansky's conjectures on group algebras.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1909.02064
Banica and Vergnioux have shown that the dual discrete quantum group of a compact simply connected Lie group has polynomial growth of order the real manifold dimension. We extend this result to a general compact group and its topological dimension, b
Externí odkaz:
http://arxiv.org/abs/1602.07496
Autor:
Ciamprone, Sergio, Pinzari, Claudia
We construct a new class of finite-dimensional C^*-quantum groupoids at roots of unity q=e^{i\pi/\ell}, with limit the discrete dual of the classical SU(N) for large orders. The representation category of our groupoid turns out to be tensor equivalen
Externí odkaz:
http://arxiv.org/abs/1506.02619
We introduce the notion of identity component of a compact quantum group and that of total disconnectedness. As a drawback of the generalized Burnside problem, we note that totally disconnected compact matrix quantum groups may fail to be profinite.
Externí odkaz:
http://arxiv.org/abs/1210.1421
Autor:
Pinzari, Claudia
We give local upper and lower bounds for the eigenvalues of the modular operator associated to an ergodic action of a compact quantum group on a unital C*-algebra. They involve the modular theory of the quantum group and the growth rate of quantum di
Externí odkaz:
http://arxiv.org/abs/1101.4534
Autor:
Pinzari, Claudia, Roberts, John E.
Let G be a classical compact Lie group and G_\mu the associated compact matrix quantum group deformed by a positive parameter \mu (or a nonzero and real \mu in the type A case). It is well known that the category Rep(G_\mu) of unitary f.d. representa
Externí odkaz:
http://arxiv.org/abs/1007.4480
Autor:
Pinzari, Claudia, Roberts, John E.
This paper addresses the problem of describing the structure of tensor C*-categories M with conjugates and irreducible tensor unit. No assumption on the existence of a braided symmetry or on amenability is made. Our assumptions are motivated by the r
Externí odkaz:
http://arxiv.org/abs/0907.2459
Autor:
Pinzari, Claudia, Roberts, John E.
Publikováno v:
Kyoto J. Math. 57, no. 3 (2017), 519-552
We use a tensor C*-category with conjugates and two quasitensor functors into the category of Hilbert spaces to define a *-algebra depending functorially on this data. If one of them is tensorial, we can complete in the maximal C*-norm. A particular
Externí odkaz:
http://arxiv.org/abs/0808.3326
Autor:
Pinzari, Claudia, Roberts, John E.
To a proper inclusion N\subset M of II_1 factors of finite Jones index [M:N], we associate an ergodic C*-action of the quantum group S_\mu U(2). The deformation parameter is determined by -1<\mu<0 and [M:N]=|\mu+\mu^{-1}|. The higher relative commuta
Externí odkaz:
http://arxiv.org/abs/0806.4519