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The Universal Property of Infinite Direct Sums in \(\hbox {C}^*\)-Categories and \(\hbox {W}^*\)-Categories
When formulating universal properties for objects in a dagger category, one usually expects a universal property to characterize the universal object...
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Semicircular Elements Induced by Projections on Separable Hilbert Spaces
In this paper, we construct semicircular elements from mutually orthogonal projections on the separable Hilbert space l2(N0). They act on...
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Order Isomorphisms of Operator Intervals in von Neumann Algebras
We give a complete description of order isomorphisms between operator intervals in general von Neumann algebras. For the description, we use Jordan
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Local Approximation of Observables and Commutator Bounds
We discuss conditional expectations that can be used as generalizations of the partial trace for quantum systems with an infinite-dimensional Hilbert...
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Normal Limits of Nilpotent Operators in von Neumann Algebras
We will investigate the intersection of the normal operators with the norm closure of the nilpotent operators in von Neumann algebras. A complete...
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Unsharp Values, Domains and Topoi
The so-called topos approach provides a radical reformulation of quantum theory. Structurally, quantum theory in the topos formulation is very...
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Coadjoint Orbits and the Beginnings of a Geometric Representation Theory
This is a review of Banach Poisson manifolds with special emphasis on Banach–Lie–Poisson spaces. Unlike the finite-dimensional case, the existence of...
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Strongly solid group factors which are not interpolated free group factors
We give examples of non-amenable infinite conjugacy classes groups Γ with the Haagerup property, weakly amenable with constant Λ cb (Γ) = 1, for which...
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Local Minimal Curves in Homogeneous Reductive Spaces of the Unitary Group of a Finite von Neumann Algebra
We study the metric geometry of homogeneous reductive spaces of the unitary group of a finite von Neumann algebra with a non complete Riemannian...
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Harmonic operators: the dual perspective
The study of harmonic functions on a locally compact group G has recently been transferred to a “non-commutative” setting in two different...
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On a pair of (α, β)-derivations of semiprime rings
Among other results we show that if α, β are centralizing epimorphisms and f , g are (α, β)-derivations of a 2-torsion free semiprime ring R such that f (...
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Some prime factorization results for type II1 factors
We prove several unique prime factorization results for tensor products of type II 1 factors coming from groups that can be realized either as...
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The Generalized Chern Character and Lefschetz Numbers in W*-Modules
We define N -theory as being an analogue of K -theory on the category of von Neumann algebras such that K 0 ( A )⊂ N 0 ( A ) for any von Neumann algebra A ....