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Categorial subsystem independence as morphism co-possibility

Gyenis, Zalán and Rédei, Miklós ORCID: 0000-0001-5298-1443 (2017) Categorial subsystem independence as morphism co-possibility. Communications in Mathematical Physics. ISSN 0010-3616

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Identification Number: 10.1007/s00220-017-2940-8

Abstract

This paper formulates a notion of independence of subobjects of an object in a general (i.e. not necessarily concrete) category. Subobject independence is the categorial generalization of what is known as subsystem independence in the context of algebraic relativistic quantum field theory. The content of subobject independence formulated in this paper is morphism co-possibility: two subobjects of an object will be defined to be independent if any two morphisms on the two subobjects of an object are jointly implementable by a single morphism on the larger object. The paper investigates features of subobject independence in general, and subobject independence in the category of C∗ - algebras with respect to operations (completely positive unit preserving linear maps on C∗ - algebras)as morphisms is suggested as a natural subsystem independence axiom to express relativistic locality of the covariant functor in the categorial approach to quantum field theory.

Item Type: Article
Official URL: https://link.springer.com/journal/220
Additional Information: © 2017 The Authors © CC BY 4.0
Divisions: Philosophy, Logic and Scientific Method
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Sets: Departments > Philosophy, Logic and Scientific Method
Date Deposited: 24 Feb 2017 15:10
Last Modified: 20 Jan 2020 06:24
URI: http://eprints.lse.ac.uk/id/eprint/69563

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