On Automorphisms of Irrational Rotation Algebras

KODAKA, Kazunori

Tokyo J. of Math., Tome 12 (1989) no. 2, p. 91-97 / Harvested from Project Euclid

Résumé

Let $ A_\theta$ be an irrational rotation algebra and $B_\theta$ be the AF-algebra defined by Effros and Shen. Then we have monomorphisms of $A_\theta$ into $B_\theta$. In the present paper we will show that there are automorphisms of $A_\theta$ which can not be extended to any automorphism of $B_\theta$ for any monomorphism of $A_\theta$ into $ B_\theta$.

Publié le : 1989-06-15
Classification:

@article{1270133550,
     author = {KODAKA, Kazunori},
     title = {On Automorphisms of Irrational Rotation Algebras},
     journal = {Tokyo J. of Math.},
     volume = {12},
     number = {2},
     year = {1989},
     pages = { 91-97},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270133550}
}

KODAKA, Kazunori. On Automorphisms of Irrational Rotation Algebras. Tokyo J. of Math., Tome 12 (1989) no. 2, pp.  91-97. http://gdmltest.u-ga.fr/item/1270133550/