On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras

Autor: F. B. H. Jamjoom, A. H. Al Otaibi
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/2020/6976084
Popis: The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established. In this article, we established a relationship between the set of split faces of the state space (resp. normal states) of a JC-algebra (resp. a JW-algebra) and the set of split faces of the state space (resp. normal states) of its universal enveloping C∗-algebra (resp. von Neumann algebra), and we tied up this relationship with the correspondence between the classes of invariant faces, closed ideals, and central projections of these Jordan algebras and of their universal enveloping algebras.
Databáze: Directory of Open Access Journals
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