Automorphisms of Ordered Structures of Abelian Parts of Operator Algebras and their Role in Quantum Theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F14%3A00221713" target="_blank" >RIV/68407700:21230/14:00221713 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-013-1691-3" target="_blank" >http://dx.doi.org/10.1007/s10773-013-1691-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-013-1691-3" target="_blank" >10.1007/s10773-013-1691-3</a>

Result language
angličtina
Original language name
Automorphisms of Ordered Structures of Abelian Parts of Operator Algebras and their Role in Quantum Theory
Original language description
It is shown that any order isomorphism between the structures of unital associative JB subalgebras of JB algebras is given naturally by a partially linear Jordan isomorphism. The same holds for nonunital subalgebras and order isomorphisms preserving theunital subalgebra. Finally, we recover usual action of time evolution group on a von Neumann factor from group of automorphisms of the structure of Abelian subalgebras.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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