An action of the Klein four-group on the irrational rotation C-algebra
Explicit automorphisms of the irrational rotation algebra are constructed which are associated with the two 2 × 2 diagonal integer matrices of determinant −1. The fixed point algebra of the product of these two automorphisms is shown to be isomorphic to the fixed point algebra of the flip.
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 1997-08, Vol.56 (1), p.135-148 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Explicit automorphisms of the irrational rotation algebra are constructed which are associated with the two 2 × 2 diagonal integer matrices of determinant −1. The fixed point algebra of the product of these two automorphisms is shown to be isomorphic to the fixed point algebra of the flip. |
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| ISSN: | 0004-9727 1755-1633 |
| DOI: | 10.1017/S000497270003080X |