搜索结果: 1-7 共查到“算子代数 quantum”相关记录7条 . 查询时间(0.266 秒)
Quantum Feynman-Kac perturbations
Quantum stochastic cocycle Markovian cocycle quantum stochastic flow one-parameter semigroup
2012/3/1
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by ...
Completely positive multipliers of quantum groups
Locally compact quantum group manageable multiplicative unitary completely bounded multiplier
2011/9/21
Abstract: We show that any completely positive multiplier of the convolution algebra of the dual of an operator algebraic quantum group $\G$ (either a locally compact quantum group, or a quantum group...
The Super Operator System Structures and their applications in Quantum Entanglement Theory
operator system operator space quantum information theory quantum entanglement Schmidt number
2011/9/5
Abstract: An operator system $\cl S$ with unit $e$, can be viewed as an Archimedean order unit space $(\cl S,\cl S^+,e)$. Using this Archimedean order unit space, for a fixed $k\in \bb N$ we construct...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Quantum isometry groups of symmetric groups
quantum group quantum isometry spectral triple Hopf algebra
2011/8/30
Abstract: We identify the quantum isometry groups of spectral triples built on the symmetric groups with length functions arising from the nearest-neighbor transpositions as generators. It turns out t...
Operator algebra quantum homogeneous spaces of universal gauge groups
quantum groups quantum homogeneous spaces universal gauge
2011/3/1
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
We give a construction of a Dirac operator on a quantum group based on any simple Lie algebra
of classical type. The Dirac operator is an element in the vector space clq(g) U q(g), where the first t...