Irreducible Representations of Real C-Algebras

Authors
Bingren, Li
Citation
Bingren, Li, Irreducible Representations of Real C-Algebras, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 11(4), 1995, pp. 381-388
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
11
Issue
4
Year of publication
1995
Pages
381 - 388
Database
ACNP
SICI code
Abstract
In this paper, we show that a topologically irreducible representation of a real C. algebra is also algebraically irreducible. Moreover, the properties of pure real states on a real C. algebra and their left kernels are discussed.