On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras
Joint Authors
Jamjoom, F. B. H.
Al Otaibi, A. H.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jamjoom, F. B. H.& Al Otaibi, A. H.. 2020. On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1172680
Modern Language Association (MLA)
Jamjoom, F. B. H.& Al Otaibi, A. H.. On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1172680
American Medical Association (AMA)
Jamjoom, F. B. H.& Al Otaibi, A. H.. On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1172680
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172680