Inductive Limit Toral Automorphisms of Irrational Rotation Algebras
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 335-336
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Irrational rotation ${{C}^{*}}$ -algebras have an inductive limit decomposition in terms of matrix algebras over the space of continuous functions on the circle and this decomposition can be chosen to be invariant under the flip automorphism. It is shown that the flip is essentially the only toral automorphism with this property.
Stacey, P. J. Inductive Limit Toral Automorphisms of Irrational Rotation Algebras. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 335-336. doi: 10.4153/CMB-2001-033-6
@article{10_4153_CMB_2001_033_6,
author = {Stacey, P. J.},
title = {Inductive {Limit} {Toral} {Automorphisms} of {Irrational} {Rotation} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {335--336},
year = {2001},
volume = {44},
number = {3},
doi = {10.4153/CMB-2001-033-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-033-6/}
}
TY - JOUR AU - Stacey, P. J. TI - Inductive Limit Toral Automorphisms of Irrational Rotation Algebras JO - Canadian mathematical bulletin PY - 2001 SP - 335 EP - 336 VL - 44 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-033-6/ DO - 10.4153/CMB-2001-033-6 ID - 10_4153_CMB_2001_033_6 ER -
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