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Functional Analysis papers — page 3

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Partial Representations and Amenable Fell Bundles over Free Groups
We show that a Fell bundle B = Btt ∈ F, over an arbitrary free group F, is amenable, whenever it is orthogonal (in the sense that Bx* By = 0, if x and y are distinct generators of F) and…
Ruy ExelJun 17, 1997
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Subalgebras of C*-algebras III: multivariable operator theory
A d-contraction is a d-tuple (T1,...,Td) of mutually commuting operators acting on a common Hilbert space H such that \|T1ξ1+T2ξ2+... +Tdξd\|2≤ \|ξ1\|2+\|ξ2\|2+...+\|ξd\|2 for…
William ArvesonMay 28, 1997
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On the index and dilations of completely positive semigroups
It is known that every semigroup of normal completely positive maps P = Pt: t≥ 0 of B(H), satisfying Pt(1) = 1 for every t≥ 0, has a minimal dilation to an E0-semigroup acting on…
William ArvesonMay 25, 1997
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The index of a quantum dynamical semigroup
A numerical index is introduced for semigroups of completely positive maps of B(H) which generalizes the index of E0-semigroups. It is shown that the index of a unital completely positive…
William ArvesonMay 25, 1997
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Pure E0-semigroups and absorbing states
An E0-semigroup acting on B(H) is called pure if the intersection of the ranges αt(B(H)), t>0, is the algebra of scalars. We determine all pure E0-semigroups which have a weakly continuous…
William ArvesonMay 25, 1997
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Some universal constructions in abstract topological dynamics
This small survey of basic universal constructions related to the actions of topological groups on compacta is centred around a new result --- an intrinsic description of extremely amenable…
Vladimir PestovMay 22, 1997
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Two 1935 questions of Mazur about polynomials in Banach spaces: a counter-example
We construct a continuous scalar-valued 2-polynomial, W, on the separable Hilbert space l2 and an unbounded set R⊂ l2 such that (i) W is bounded on an ε-neighbourhood of R; (ii)…
Vladimir PestovMay 20, 1997
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Discrete product systems and twisted crossed products by semigroups
A product system E over a semigroup P is a family of Hilbert spaces Es:s∈ P together with multiplications Es × Et Est. We view E as a unitary- valued cocycle on P, and consider…
N. Fowler, I. RaeburnMay 9, 1997
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KMS-weights on C*-algebras
In this paper, we build a solid framework for KMS-weights on C*-algebras. We use another definition than the one introduced by Combes, but prove that they are equivalent.
Johan KustermansApr 29, 1997
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Covariant Sectors with Infinite Dimension and Positivity of the Energy
We consider a Moebius covariant sector, possibly with infinite dimension, of a local conformal net of von Neumann algebras on the circle. If the sector has finite index, it has automatically positive…
Paolo Bertozzini, Roberto Conti, Roberto LongoApr 23, 1997
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Universal C*-algebraic quantum groups arising from algebraic quantum groups
In this paper, we construct a universal C*-algebraic quantum group out of an algebraic one. We show that this universal C*-algebraic quantum group has the same rich structure as its reduced…
Johan KustermansApr 22, 1997
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A natural extension of a left invariant lower semi-continuous weight
In this paper, we describe a natural method to extend left invariant weights on C*-algebraic quantum groups. This method is then used to improve the left invariance property of a left invariant…
Johan KustermansApr 21, 1997
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Examining the dual of an algebraic quantum group
In the first part of this paper, we implement the multiplier algebra of the dual of an algebraic quantum group (A,Delta) as a space of linear functionals on A. In the second part, we construct the…
Johan KustermansApr 21, 1997
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Grassmannian and elliptic operators
The conjecture about relation between infinite-dimensional Grassmannian and string theory is based on the fact that moduli spaces of algebraic curves are embedded into Grassmannian via Krichever…
Leonid Friedlander, Albert SchwarzApr 19, 1997
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A Complete Classification Of The Admissible Representations Of Infinite-Dimensional Classical Matrix Groups
This paper contains a complete description of classes of the unitary equivalence of the admissible representations of infinite-dimensional classic matrix groups paper.
N. I. NessonovApr 7, 1997
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Umbral Calculus and Cancellative Semigroup Algebras
We describe some connections between three different fields: combinatorics (umbral calculus), functional analysis (linear functionals and operators) and harmonic analysis (convolutions on group-like…
Vladimir V. KisilApr 1, 1997
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Regular C*-valued weights
We introduce the notion of a C*-valued weight between two C*-algebras as a generalization of an ordinary weight on a C*-algebra and as a C*-version of operator valued weights on von Neumann algebras.…
Johan KustermansMar 13, 1997
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Classification of actions of discrete amenable groups on strongly amenable subfactors of type IIIλ
Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type IIIλ, 0 < λ< 1. Winsløw's fundamental homomorphism is…
Toshihiko MasudaMar 12, 1997
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Stability of quasi-linear hyperbolic dissipative systems
In this work we want to explore the relationship between certain eigenvalue condition for the symbols of first order partial differential operators describing evolution processes and the linear and…
Heinz Otto Kreiss, Omar E. Ortiz, Oscar A. ReulaMar 6, 1997
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Local Hypercomplex Analyticity
The notion of analyticity is studied in the context of hypercomplex numbers. A critical review of the problems arising from the conventional approach is given. We describe a local analyticity…
Stefano De Leo, Pietro RotelliMar 6, 1997
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Two Approaches to Non-Commutative Geometry
Looking to the history of mathematics one could find out two outer approaches to Geometry. First one (algebraic) is due to Descartes and second one (group-theoretic)--to Klein. We will see that they…
Vladimir V. KisilMar 4, 1997
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States of Toeplitz-Cuntz algebras
We characterize the state space of a Toeplitz-Cuntz algebra TOn in terms of positive operator matrices Ω on Fock space which satisfy sl(Ω) Ω, where sl(Ω) is the operator matrix obtained from…
Neal J. FowlerFeb 26, 1997
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Orbifold subfactors from Hecke algebras II --- Quantum doubles and braiding ---
A. Ocneanu has observed that a mysterious orbifold phenomenon occurs in the system of the Minfinity-Minfinity bimodules of the asymptotic inclusion, a subfactor analogue of the quantum double, of…
David E. Evans, Yasuyuki KawahigashiFeb 24, 1997
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On invertibility preserving linear maps, simultaneous triangularization and Property L
Let F be a linear unital map of a unital matrix algebra A over the complex numbers into the complex n by n matrices. Then F induces a linear unital map Fk of the k by k matrices over A into the…
Erik ChristensenFeb 18, 1997
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Projections in free product C*-algebras
Consider the reduced free product of C*-algebras, (A,ϕ)=(A1,ϕ1)*(A2,ϕ2), with respect to states ϕ1 and ϕ2 that are faithful. If ϕ1 and ϕ2 are traces, if the so-called Avitzour conditions are…
Kenneth J. Dykema, Mikael RordamFeb 17, 1997
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