Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772449 | Journal of Functional Analysis | 2017 | 21 Pages |
Abstract
A distance between von Neumann algebras is introduced, depending on a further norm inducing the wâ-topology on bounded sets. Such notion is related both with the Gromov-Hausdorff distance for quantum metric spaces of Rieffel [24] and with the Effros-Maréchal topology [10,19] on the von Neumann algebras acting on a Hilbert space. This construction is tested on the local algebras of free quantum fields endowed with norms related with the Buchholz-Wichmann nuclearity condition [3], showing the continuity of such algebras w.r.t. the mass parameter.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
D. Guido, N. Marotta, G. Morsella, L. Suriano,