Insights on blastomere nuclearity

On Nuclearity Maps

In this paper, we characterize λ-nuclear maps in term of pseudoλλ×-nuclear maps. Then we use our result to give a characterization of a λ(A)-nuclear map where λ(A) is a smooth sequence space of finite or infinite type. Mathematics Subject Classification: 46A45, 46A11

Modular Nuclearity and Localization

Within the algebraic setting of quantum field theory, a condition is given which implies that the intersection of algebras generated by field operators localized in wedge–shaped regions of two–dimensional Minkowski space is non–trivial; in particular, there exist compactly localized operators in such theories which can be interpreted as local observables. The condition is based on spectral (nuc...

Transmitters in Blastomere Interactions

On the nuclearity of certain Cuntz-Pimsner algebras

In the present paper, we give a short proof of the nuclearity property of a class of CuntzPimsner algebras associated with a HilbertA-bimodule M, whereA is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given in terms of compact module operators and that M is direct summand of the standard Hilbert module over A.

Modular Nuclearity: A Generally Covariant Perspective

A quantum field theory in its algebraic description may admit many irregular states. So far, selection criteria to distinguish physically reasonable states have been restricted to free fields (Hadamard condition) or to flat spacetimes (e.g., Buchholz-Wichmann nuclearity). We propose instead to use a modular `p-condition, which is an extension of a strengthened modular nuclearity condition to ge...