Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 19, No. 1, pp. 51-53 (2003)

On $2\times 2$ matrices over $C^\ast$-algebras

M.S. Moslehian

Ferdowsi University, Iran

Abstract: We characterize $C^*$-algebras isomorphic to $M_2(\mathbf{C})$ and $C^*$-algebras containing $M_2(\mathbf{C})$ as a unital $C^*$-subalgebra. $*$-isomorphisms between the full $2 \times 2$ matrix algebras over $C^*$-algebras are also discussed.

Keywords: *-isomorphism of $C^*$-algebras, idempotent, projection.

Classification (MSC2000): 46L05

Full text of the article:


[Previous Article] [Next Article] [Contents of this Number]
© 2003 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition