Bell's Inequalities and Algebraic StructureWe provide an overview of the connections between Bell's inequalities and algebraic structure.Stephen J. Summers·Jan 10, 1997SaveLearn
Derivation of Local Gauge Freedom from a Measurement PrincipleWe define operator manifolds as manifolds on which a spectral measure on a Hilbert space is given as additional structure. The spectral measure mathematically describes space as a quantum mechanical…Felix Finster·Jan 6, 1997SaveLearn
A multiplier approach to the Lance-Blecher theoremA new approach to the Lance-Blecher theorem is presented resting on the interpretation of elements of Hilbert C*-module theory in terms of multiplier theory of operator C*-algebras: The Hilbert norm…Michael Frank·Jan 6, 1997SaveLearn
K-theoretic duality for shifts of finite typeC*-algebras generalizing Cuntz-Krieger algebras can be associated to hyperbolic homeomorphisms of compact metric spaces. They satisfy a non-commutative form of Spanier-Whitehead duality with respect…J. Kaminker, I. Putnam·Dec 31, 1996SaveLearn
On invariant measures for the group of diffeomorphisms of the circleIn a previous paper the author constructed biinvariant measures (possibly having values in a line bundle) for a loop group LK (with compact simply connected K) acting on the formal completion of its…Doug Pickrell·Dec 29, 1996SaveLearn
Some Topics in Fourier Analysis and Approximation TheoryThis manuscript presents shortly the results obtained by participants of the scientific seminar which is held more than twenty years under leadership of the author at Donetsk University. In the list…R. M. Trigub·Dec 23, 1996SaveLearn
Generalized inverses and the maximal radius of regularity of a Fredholm operatorOperators possessing analytic generalized inverses satisfying the resolvent identity are studied. Several characterizations and necessary conditions are obtained. The maximal radius of regularity for…Catalin Badea, Mostafa Mbekhta·Dec 19, 1996SaveLearn
A connection between multiresolution wavelet theory of scale N and representations of the Cuntz algebra ONIn this paper we give a short survey of a connection between the theory of wavelets in L2(R) and certain representations of the Cuntz algebra on L2(T).Ola Bratteli, Palle E. T. Jorgensen·Dec 19, 1996SaveLearn
Modules with norms which take values in a C*-algebraWe consider modules E over a C*-algebra A which are equipped with a map into A+ that has the formal properties of a norm. We completely determine the structure of these modules. In particular, we…N. C. Phillips, N. Weaver·Dec 19, 1996SaveLearn
On the infinite dimensional hidden symmetries. I. Infinite dimensional geometry of qR-conformal symmetriesThis paper opens the series of articles supplemental to the series (hep-th/9405050,q-alg/9610026,q-alg/9611003,q-alg/9611019,funct-an/9611003), which also lies in lines of general ideology exposed in…Denis V. Juriev·Dec 18, 1996SaveLearn
Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale NIn this paper we show how wavelets originating from multiresolution analysis of scale N give rise to certain representations of the Cuntz algebras ON, and conversely how the wavelets can be…Ola Bratteli, Palle E. T. Jorgensen·Dec 17, 1996SaveLearn
Iterated function systems and permutation representations of the Cuntz algebraWe study a class of representations of the Cuntz algebras ON, N=2,3,..., acting on L2(T) where T=R/2πZ. The representations arise in wavelet theory, but are of independent interest. We find and…Ola Bratteli, Palle E. T. Jorgensen·Dec 17, 1996SaveLearn
Commutators of free random variablesLet A be a unital C*-algebra, given together with a specified state ϕ:A C. Consider two selfadjoint elements a,b of A, which are free with respect to ϕ (in the sense of the free…Alexandru Nica, Roland Speicher·Dec 10, 1996SaveLearn
Scaling algebras, the renormalization group and the principle of local stability in algebraic quantum field theoryWe summarize the new scaling algebra approach to the structural analysis of the short distance behaviour of quantum field theories in the operator algebraic formulation which has recently been…Rainer Verch·Nov 27, 1996SaveLearn
Topics in hidden symmetries. VThis note being devoted to some aspects of the inverse problem of representation theory contains a new insight into it illustrated by two topics. The attention is concentrated on the manner of…Denis V. Juriev·Nov 25, 1996SaveLearn
Isomorphism classes for quantum Heisenberg manifoldsWe embed the quantum Heisenberg manifold in a crossed product algebra. This enables us to show that, in the irrational case, all tracial states on induce the same homomorphism on the K0-group.…Beatriz Abadie·Nov 23, 1996SaveLearn
Generalized Cuntz algebras associated with subfactorsVarious generalizations of Cuntz algebras and their relations to symmetry and duality are reviewed. New generalized Cuntz algebras are associated with a subfactor. A characteristic Hilbert space of…K. -H. Rehren·Nov 8, 1996SaveLearn
C*-algebras of b-pseudodifferential operators and an k-equivariant index theoremWe compute K-theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of…Richard B. Melrose, Victor Nistor·Oct 23, 1996SaveLearn
Normal intermediate subfactorsLet N ⊂ M be an irreducible inclusion of type type II1 factors with finite Jones index. We shall introduce the notion of normality for intermediate subfactors of the inclusion $N ⊂…Tamotsu Teruya·Oct 16, 1996SaveLearn
The Rohlin Property for Actions of Z2 on UHF AlgebrasWe define a Rohlin property for actions of Z2 on UHF algebras and show a noncommutative Rohlin type theorem. Among those actions with the Rohlin property, we classify product type actions up to…Hideki Nakamura·Oct 9, 1996SaveLearn
Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetimeWe derive for a pair of operators on a symplectic space which are adjoints of each other with respect to the symplectic form (that is, they are sympletically adjoint) that, if they are bounded for…Rainer Verch·Sep 30, 1996SaveLearn
On Hahn-Banach type theorems for Hilbert C*-modulesWe show three Hahn-Banach type extension criteria for (sets of) bounded C*-linear maps of Hilbert C*-modules to the underlying C*-algebras of coefficients. One criterion establishes an alternative…Michael Frank·Sep 30, 1996SaveLearn
Supermatrix Representations of Semigroup BandsVarious semigroups of noninvertible supermatrices of the special (antitriangle) shape having nilpotent Berezinian which appear in supersymmetric theories are defined and investigated. A subset of…Steven Duplij·Sep 19, 1996SaveLearn
Hilbert C*-bimodules over commutative C*-algebras and an isomorphism condition for quantum Heisenberg manifoldsA study of Hilbert C*-bimodules over commutative C*-algebras is carried out and used to establish a sufficient condition for two quantum Heisenberg manifolds to be isomorphic.Beatriz Abadie, Ruy Exel·Sep 13, 1996SaveLearn
Crossed Products by Dual Coactions of Groups and Homogeneous SpacesMansfield showed how to induce representations of crossed products of C*-algebras by coactions from crossed products by quotient groups and proved an imprimitivity theorem characterising these…Siegfried Echterhoff, S. Kaliszewski, Iain Raeburn·Aug 29, 1996SaveLearn