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Noninteraction of waves in two-dimensional conformal field theory
Noninteraction of waves two-dimensional conformal field theory Operator Algebras
2011/9/6
Abstract: In higher dimensional quantum field theory, irreducible representations of the Poincare group are associated with particles. Their counterpart in two-dimensional massless models are "waves" ...
A local global principle for regular operators in Hilbert C*-modules
Hilbert C*-modules unbounded operator semiregular and regular operator
2011/9/5
Abstract: Hilbert C*-modules are the analogues of Hilbert spaces where a C*-algebra plays the role of the scalar field. With the advent of Kasparov's celebrated KK-theory they became a standard tool i...
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...
Abstract: Some recent research on the tensor products of operator systems and ensuing nuclearity properties in this setting raised many stability problems. In this paper we examine the preservation of...
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...
Abstract: A CP-semigroup is aligned if its set of trivially maximal subordinates is totally ordered by subordination. We prove that aligned spatial E_0-semigroups are prime: they have no non-trivial t...
Characterizations of all-derivable points in nest algebras
All-derivable point nest algebra derivable linear mapping at G
2011/9/1
Abstract: Let $\mathcal{A}$ be an operator algebra on a Hilbert space. We say that an element $G\in {\mathcal{A}}$ is an all-derivable point of ${\mathcal{A}}$ if every derivable linear mapping $\phi$...
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...
The Fuglede-Kadison determinant, theme and variations
Determinant Fuglede-Kadison determinant Banach algebra
2011/8/25
Abstract: We review the definition of determinants for finite von Neumann algebras, due to Fuglede and Kadison (1952), and a generalisation for appropriate groups of invertible elements in Banach alge...
Exel and Stacey crossed products, and Cuntz-Pimsner algebras
Exel crossed product Stacey crossed product Cuntz-Pimsner algebra endomorphism
2011/8/25
Abstract: There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel crossed produ...
The Muckenhoupt $A_\infty$ class as a metric space and continuity of weighted estimates
Calderon–Zygmund operators A2 weights interpolation
2011/8/25
Abstract: We show how the $A_\infty$ class of weights can be considered as a metric space. As far as we know this is the first time that a metric d is considered on this set. We use this metric to gen...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
Absolute continuity, Interpolation and the Lyapunov order
Nevanlinna-Pick interpolation representations Hardy algebra absolute continuity Lyapunov order
2011/8/24
Abstract: We extend our Nevanlinna-Pick theorem for Hardy algebras and their representations to cover interpolation at the absolutely continuous points of the boundaries of their discs of representati...
The finite cardinalities of level sets of the Takagi function
Takagi function Nowhere-differentiable function Level set Self-similarity Takagi expansion
2011/8/25
Abstract: Let T be Takagi's continuous but nowhere-differentiable function. It is known that almost all level sets (with respect to Lebesgue measure on the range of T) are finite. We show that the mos...
A generalization of Marstrand's theorem for projections of cartesian products
Marstrand's theorem cartesian products Classical Analysis and ODEs
2011/8/23
Abstract: We prove the following variant of Marstrand's theorem about projections of cartesian products of sets:
Let $K_1,...,K_n$ Borel subsets of $\mathbb R^{m_1},... ,\mathbb R^{m_n}$ respectivel...