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Functional Analysis papers — page 7

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Rings with Topologies Induced by Spaces of Functions
The paper contains the proof, in dimension 2, of a conjecture of R. G. Douglas and V. Paulsen concerning the characterization of the ideals of polynomials which are closed in the relative topology…
Razvan GelcaApr 10, 1996
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Compact Perturbations of Fredholm n-tuples
The paper gives a negative answer to the question whether one can perturb a Fredholm pair of index 0 by compact operators to a pair with exact Koszul complex.
Razvan GelcaApr 10, 1996
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A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras
Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e. MG M = C, where MG denotes the G-fixed point subalgebra.…
Masaki Izumi, Roberto Longo, Sorin PopaApr 5, 1996
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Harnack Inequality on Homogeneous Spaces
We consider a homogeneous space X=(X,d,m) of dimension ν≥1 and a local regular Dirichlet form in L2(X,m) . We prove that if a Poincaré inequality holds on every pseudo-ball B(x,R) of…
Remo GarattiniApr 3, 1996
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Crossed product duality for partial C*-automorphisms
For partial automorphisms of C*-algebras, Takai-Takesaki crossed product duality tends to fail, in proportion to the extent to which the partial automorphism is not an automorphism.
John QuiggApr 3, 1996
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Characterisations of crossed products by partial actions
Partial actions of discrete groups on C*-algebras and the associated crossed products have been studied by Exel and McClanahan. We characterise these crossed products in terms of the spectral…
John Quigg, Iain RaeburnApr 3, 1996
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Trace-scaling automorphisms of certain stable AF algebras
Trace scaling automorphisms of stable AF algebras with dimension group totally ordered are outer conjugate if the scaling factors are the same (not equal to one). This is an adaptation of a similar…
D. E. Evans, A. KishimotoFeb 28, 1996
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A Paley-Wiener Theorem for Nilpotent Lie Groups
A version of Paley-Wiener like theorem for connected, simply connected nilpotent Lie groups is proven.
Vladimir V. KisilFeb 28, 1996
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C*-crossed products by partial actions and actions of inverse semigroups
The recently developed theory of partial actions of discrete groups on C*-algebras is extended. A related concept of actions of inverse semigroups on C*-algebras is defined, including covariant…
Nandor SiebenFeb 21, 1996
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A new perspective on Functional Integration
The core of this article is a general theorem with a large number of specializations. Given a manifold N and a finite number of one-parameter groups of point transformations on N with generators…
Pierre Cartier, Cécile DeWitt-MoretteFeb 8, 1996
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Duality of Restriction and Induction for C*-Coactions
Consider a coaction δ of a locally compact group G on a algebra A, and a closed normal subgroup N of G. We prove, following results of Echterhoff for abelian G, that…
S. Kaliszewski, John Quigg, Iain RaeburnFeb 7, 1996
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Imprimitivity for C*-Coactions of Non-Amenable Groups
We give a condition on a full coaction (A,G,δ) of a (possibly) nonamenable group G and a closed normal subgroup N of G which ensures that Mansfield imprimitivity works; i.e. that…
S. Kaliszewski, John QuiggFeb 7, 1996
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Complex structure and solutions of classical nonlinear equation with the interaction u44
We consider the (real) nonlinear wave equation u + m2 u + λu3 = 0, m > 0, λ> 0, on four-\-dimensional Minkowski space. We introduce the complex structure and show that the…
Edward P. OsipovFeb 2, 1996
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Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
Consider the Laplacian in a straight planar strip of width \,d\,, with the Neumann boundary condition at a segment of length \,2a\, of one of the boundaries, and Dirichlet otherwise. For small…
P. Exner, S. A. VugalterFeb 2, 1996
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Purely infinite simple C*-algebras arising from free product constructions
Examples of simple, separable, unital, purely infinite C*--algebras are constructed, including: (1) some that are not approximately divisible; (2) those that arise as crossed products of any of a…
Kenneth J. Dykema, Mikael RordamJan 23, 1996
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Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states
The von Neumann algebra free product of arbitary finite dimensional von Neumann algebras with respect to arbitrary faithful states, at least one of which is not a trace, is found to be a type~III…
Kenneth J. DykemaJan 23, 1996
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Bound states in a locally deformed waveguide: the critical case
We consider the Dirichlet Laplacian for a strip in \,2 with one straight boundary and a width \,a(1+λf(x))\,, where \,f\, is a smooth function of a compact support with a length \,2b\,. We…
P. Exner, S. A. VugalterJan 23, 1996
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The topology of ideals in some triangular AF algebras
A set of meet-irreducible ideals is described for a class of maximal triangular almost finite algebras. This set forms a topological space under the hull-kernel closure, and there is a one-to-one…
Michael P. LamoureuxJan 2, 1996
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Minimal E0-semigroups
It is known that every semigroup of normal completely positive maps of a von Neumann can be ``dilated" in a particular way to an E0-semigroup acting on a larger von Neumann algebra. The…
William ArvesonDec 20, 1995
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Noncommutative flows I: dynamical invariants
We show that a noncommutative dynamical system of the type that occurs in quantum theory can often be associated with a dynamical principle; that is, an infinitesimal structure that completely…
William ArvesonDec 19, 1995
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Hidden sl2-algebra of finite-difference equations
The connection between polynomial solutions of finite-difference equations and finite-dimensional representations of the sl2-algebra is established (the talk given at the Wigner Symposium,…
Yuri Smirnov, Alexander TurbinerDec 14, 1995
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Weakly coupled states on branching graphs
We consider a Schrödinger particle on a graph consisting of \,N\, links joined at a single point. Each link supports a real locally integrable potential \,Vj\,; the self--adjointness is ensured…
Pavel ExnerDec 11, 1995
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Partial actions of groups and actions of inverse semigroups
Given a group G, we construct, in a canonical way, an inverse semigroup S(G) associated to G. The actions of S(G) are shown to be in one-to-one correspondence with the partial actions of G, both in…
Ruy ExelNov 27, 1995
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An obstruction for q-deformation of the convolution product
We consider two independent q-Gaussian random variables X and Y and a function f chosen in such a way that f(X) and X have the same distribution. For 0 < q < 1 we find that at least the fourth…
Hans van Leeuwen, Hans MaassenNov 24, 1995
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Some estimates for the Banach space norms in the von Neumann algebras associated with the Berezin's quantization of compact Riemann
Let be any cocompact, discrete subgroup of . In this paper we find estimates for the predual and the uniform Banach space norms in the von Neumann algebras associated with the Berezin' s…
Florin RadulescuNov 8, 1995
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