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Functional Analysis papers — page 10

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Landau Hamiltonians with Random Potentials: Localization and the Density of States
We prove the existence of localized states at the edges of the bands for the two-dimensional Landau Hamiltonian with a random potential, of arbitrary disorder, provided that the magnetic field is…
J. M. Combes, P. D. HislopOct 18, 1994
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Convolution and Limit Theorems for Conditionally Free Random Variables
We introduce the notion of a conditionally free product and conditionally free convolution. We describe this convolution both from a combinatorial point of view, by showing its connection with the…
Marek Bozejko, Michael Leinert, Roland SpeicherOct 17, 1994
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Crossed products whose primitive ideal spaces are generalized trivial G-bundles
We characterize when the primitive ideal space of a crossed product of a -algebra A by a locally compact abelian group G is a σ-trivial G-space for the dual G-action.…
Siegfried Echterhoff, Dana WilliamsOct 12, 1994
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Lp-Spaces as Quasi *-Algebras
The Banach space Lp(X,μ), for X a compact Hausdorff measure space, is considered as a special kind of quasi *-algebra (called CQ*-algebra) over the C*-algebra C(X) of continuous functions on…
F. Bagarello, C. TrapaniOct 5, 1994
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Relative Convolutions. I. Properties and Applications
To study operator algebras with symmetries in a wide sense we introduce a notion of relative convolution operators induced by a Lie algebra. Relative convolutions recover many important classes…
Vladimir V. KisilOct 3, 1994
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The equivariant Brauer groups of commuting free and proper actions are isomorphic
If X is a locally compact space which admits commuting free and proper actions of locally compact groups G and H, then the Brauer groups H(G/X) and G(X/H) are naturally isomorphic.
Alexander Kumjian, Iain Raeburn, Dana P. WilliamsSep 27, 1994
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Classical and quantum dynamics of noncanonically coupled oscillators and Lie superalgebras
The classical and quantum dynamics of noncanonically coupled os- cillators is investigated in its relation to Lie superalgebras. It is shown that the quantum dynamics admits a hidden…
D. V. JurievSep 26, 1994
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On an Application of Hypoellipticity to Solutions of Functional Equations
We study the regularity of solutions of functional equations of a generalized mean value type. In this paper we give sufficient conditions for the regularity by using hypoellipticity which is a…
A. Tsutsumi, S. HarukiSep 21, 1994
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Approximate unitary equivalence of homomorphisms from O∞
We prove that if two homomorphisms from O∞ to a purely infinite simple C*-algebra have the same class in KK-theory, and if either both are unital or both are nonunital, then they are…
Huaxin Lin, N. Christopher PhillipsSep 7, 1994
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Hilbert C*-modules over monotone complete C*-algebras
The aim of the present paper is to describe self-duality and C*- reflexivity of Hilbert A-modules M over monotone complete C*-algebras A by the completeness of the unit ball of…
Michael FrankAug 31, 1994
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Interpolations between Bosonic and Fermionic Relations given by Generalized Brownian Motions (revised version)
We present an interpolation between the bosonic and fermionic relations. This interpolation is given by an object which we call `generalized Brownian motion' and which is characterized by a…
Marek Bozejko, Roland SpeicherAug 31, 1994
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Completely Positive Maps on Coxeter Groups, Deformed Commutation Relations, and Operator Spaces
In this article we prove that quasi-multiplicative (with respect to the usual length function) mappings on the permutation group (or, more generally, on arbitrary amenable Coxeter groups),…
Marek Bozejko, Roland SpeicherAug 30, 1994
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Endomorphisms of B(H)
The unital endomorphisms of B(H) of (Powers) index n are classified by certain U(n)-orbits in the set of non-degenerate representations of the Cuntz algebra On on H. Using this, the corre- sponding…
Ola Bratteli, Palle Jorgensen, Geoff PriceAug 29, 1994
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An Algebraic Spin and Statistics Theorem
A spin-statistics theorem and a PCT theorem are obtained in the context of the superselection sectors in Quantum Field Theory on a 4-dimensional space-time. Our main assumption is the requirement…
Daniele Guido, Roberto LongoJun 23, 1994
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Douady's conjecture on Banach analytic spaces
We show that, as conjectured by Adrien Douady back in 1972, every complete metric space is homeomorphic (moreover, isometric) to the locus of zeros of an analytic map between two Banach spaces. As a…
Vladimir G. PestovJun 20, 1994
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On the Banach space isomorphism type of AF C*-algebras and their triangular subalgebras
It is shown that all the approximately finite dimensional C*-algebras which are not of Type I are isomorphic as Banach spaces. This generalises the matroid case given previously by Arazy. Analogous…
S. C. PowerJun 7, 1994
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Lexicographic semigroupoids
The natural lexicographic semigroupoids associated with Cantor product spaces indexed by countable linear orders are classified. Applications are given to the classification of triangular operator…
S. C. PowerJun 7, 1994
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Infinite Lexicographic Products of Triangular Algebras
Some new connections are given between linear orderings and triangular operator algebras. A lexicograhic product is defined for triangular operator algebras and the Jacobson radical of an infinite…
S. C. PowerJun 7, 1994
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Homology for operator algebras II : Stable homology for non-self-adjoint algebras
A new homology is defined for a non-self-adjoint operator algebra and distinguished masa which is based upon cycles and boundaries associated with complexes of partial isometries in the stable…
S. C. PowerMay 18, 1994
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Homology for operator algebras I: Spectral homology for reflexive algebras
A stable homology theory is defined for completely distributive CSL algebras in terms of the point-neighbourhood homology of the partially ordered set of meet-irreducible elements of the invariant…
S. C. PowerMay 18, 1994
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Epimorphisms of C*-algebras are surjective
We answer a question raised by V.G.Pestov in the affirmative.
Karl H. Hofmann, Karl-H. NeebMay 16, 1994
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No More Than Mechanics. I
One can introduce so-called Plain Mechanics having an operator realization. Then the set of one-dimension representations of this operator realization may be identified with the Classical…
Vladimir V. KisilMay 2, 1994
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Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles (Preliminary Version)
We introduce the notion of continuous twisted partial actions of a locally compact group on a C*-algebra. With such, we construct an associated C*-algebraic bundle called the semidirect product…
Ruy ExelMay 2, 1994
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Singular Perturbations, Regularization and Extension Theory
We present an abstract result on removing regularization for singular potentials which are not semibounded from below. The relation between ``right'' regularizations and ``right''…
H. Neidhardt, V. A. ZagrebnovApr 5, 1994
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Classification of direct limits of even Cuntz-circle algebras
We prove a classification theorem for purely infinte simple C*-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz…
Huaxin Lin, N. Christopher PhillipsApr 3, 1994
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