Inner Extensions of Automorphisms of Irrational Rotation Algebras to AF-Algebras

KODAKA, Kazunori

Tokyo J. of Math., Tome 11 (1988) no. 2, p. 451-458 / Harvested from Project Euclid

Résumé

Let $A_\theta$ be an irrational rotation algebra. In the present paper we will show that automorphisms of $A_\theta$ with some properties can be extended to inner automorphisms of an AF-algebra. In other words, there are a monomorphism $\rho$ of $A_\theta$ into an AF-algebra $B$ and a unitary element $w\in B$ such that $\rho(\alpha(x))=w\rho(x)w^*$ for any $x\in A_\theta$.

Publié le : 1988-12-15
Classification:

@article{1270133988,
     author = {KODAKA, Kazunori},
     title = {Inner Extensions of Automorphisms of Irrational Rotation Algebras to AF-Algebras},
     journal = {Tokyo J. of Math.},
     volume = {11},
     number = {2},
     year = {1988},
     pages = { 451-458},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270133988}
}

KODAKA, Kazunori. Inner Extensions of Automorphisms of Irrational Rotation Algebras to AF-Algebras. Tokyo J. of Math., Tome 11 (1988) no. 2, pp.  451-458. http://gdmltest.u-ga.fr/item/1270133988/