Smooth Lie group actions on non-commutative tori (Q4735639)
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scientific article; zbMATH DE number 4122632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth Lie group actions on non-commutative tori |
scientific article; zbMATH DE number 4122632 |
Statements
Smooth Lie group actions on non-commutative tori (English)
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1989
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classify smooth actions of Lie groups on the irrational rotation
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\(C^*\)-algebras
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result of Bratteli-Elliott-Jørgensen
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every derivation of the smooth irrational rotation algebra can be
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decomposed into a sum of a standard derivation and an
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approximately inner one
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existence of non-trivial representations of the Heisenberg group
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classify smooth actions of Lie groups on the irrational rotation \(C^*\)- algebras
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every derivation of the smooth irrational rotation algebra can be decomposed into a sum of a standard derivation and an approximately inner one
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