[PDF] Top 20 Closed quantum subgroups of locally compact quantum groups
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Closed quantum subgroups of locally compact quantum groups
... It is very easy to see that they are all logically equivalent ((2) is essentially the definition of quasi-equivalence in (3), and the equivalence of (1) and (2) follows from a basic functional analytic argument, appearing ... See full document
25
Quantum Eberlein compactifications and invariant means
... (locally) compact quantum groups, which we now sketch. For a compact quantum group A, let ϕ be the Haar state for A, with GNS space H and representation π : A → ...a ... See full document
35
Completely positive multipliers of quantum groups
... of locally compact quantum groups G form a generalisation of both L 1 (G) and A(G), together with genuinely “non-commutative” examples, such as compact quantum ... See full document
19
Quantum stochastic flows on universal partial isometry matrix C* algebras
... triple. L´ evy processes on *-bialgebras have seen a lot of recent interest. A pop- ular area of study is the existence of an analogue to the aforementioned L´ evy- Khintchine decomposition or Hunt’s formula and related ... See full document
142
Homotopy quantum field theory and quantum groups
... topological quantum field theory to maps from manifolds into topological ...Homotopy Quantum Field Theory(HQFT) which may be described as a version of a TQFT for closed oriented n-dimensional ... See full document
200
Remarks on the quantum Bohr compactification
... of compact groups to the category of (say) locally compact ...between locally compact quantum groups should ...single locally compact quantum ... See full document
33
On component extensions locally compact abelian groups
... a short exact sequence 0 → A → φ B → ψ C → 0 in £ is said to be proper exact if φ and ψ are proper morphisms. In this case the sequence is called an extension of A by C ( in £ ). Following [4], we let Ext(C, A) denote ... See full document
11
An identity for cocycles on coset spaces of locally compact groups
... of locally compact ...such groups. For a given locally compact group G and a closed subgroup H of G, with right coset space G/H, a cocycle λ is a real-valued Borel function on ... See full document
5
Completely positive definite functions and Bochner's theorem for locally compact quantum groups
... a locally compact quantum group G was proposed by the first named author in [7], and in this section we show that, as conjectured in [7], such elements are precisely the completely positive ... See full document
21
Multipliers on weighted Hardy spaces over certain totally disconnected groups
... totally disconnected locally compact abellan groups with a suitable sequence of open compact subgroups Vilenkln groups... Onneweer’s theorem follows..[r] ... See full document
10
Splitting of extensions in the category of locally compact abelian groups
... pure subgroups of locally compact abelian groups, ...of locally compact abelian groups, ...in locally compact abelian groups, ...Kasparon ... See full document
7
Bracket Products on Locally Compact Abelian Groups
... We define a new function-valued inner product on L 2 (G), called φ-bracket product, where G is a locally compact abelian group and φ is a topological isomorphism on G. We investigate the notion of ... See full document
6
Knots, satellites and quantum groups
... It should be realised that the question of how the rope is knotted isn’t an intrinsic question about the rope alone, but rather a matter of how the rope is placed in space. Every closed loop of rope looks the same ... See full document
28
Quantum gravity from the point of view of locally covariant quantum field theory
... covariance. Quantum field theory is traditionally based on the symmetry group of Minkowski space, the Poincaré ...symmetry. Quantum field theory on curved spacetime which might be considered as an ... See full document
36
Knots, satellites and quantum groups
... It should be realised that the question of how the rope is knotted isn’t an intrinsic question about the rope alone, but rather a matter of how the rope is placed in space. Every closed loop of rope looks the same ... See full document
26
Model of conflict management
... of quantum physics. There are total seven quantum skills: quantum seeing, quantum thinking, quantum feeling, quantum knowing, quantum acting, quantum trusting and ... See full document
14
Quantum gravity from the point of view of locally covariant quantum field theory
... the renormalized version of the BV Laplacian. The condition (57) is called the quantum master equation. If we redefine time-ordered products in such a way that the anomaly is equal to 0, the above condition is ... See full document
40
Quantum stochastic convolution cocycles II
... of quantum stochastic differential equations with completely bounded coefficients, we analyse their positivity and multiplica- tivity properties, and we establish natural conditions under which all sufficiently ... See full document
32
Stochastic processes on totally disconnected topological groups
... topological groups are ...diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach ...these groups. In addition, stochastic processes on gen- eral Banach-Lie groups, ... See full document
23
Brownian motion and Levy processes on locally compact groups
... It is shown that every L´evy process on a locally compact group G is determined by a sequence of one-dimensional Brownian motions and an independent Poisson random measure. As a conse- quence, we are able ... See full document
17
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