Index theory and Toeplitz algebras on one-parameter subgroups of Lie groups (Q1314971)
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scientific article; zbMATH DE number 509102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Index theory and Toeplitz algebras on one-parameter subgroups of Lie groups |
scientific article; zbMATH DE number 509102 |
Statements
Index theory and Toeplitz algebras on one-parameter subgroups of Lie groups (English)
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1 March 1994
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We form the Toeplitz \(C^*\)-algebra associated to the one-parameter group of diffeomorphisms defined by a left-invariant vector field on a compact Lie group. We compute the \(K\)-theory of the Toeplitz algebra and its commutator ideal. We also define an abstract analytical index for the Toeplitz algebra and show that this analytical index can be computed in terms of topological data.
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Toeplitz \(C^*\)-algebra
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one-parameter group of diffeomorphisms defined by a left-invariant vector field on a compact Lie group
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\(K\)-theory of the Toeplitz algebra
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commutator ideal
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abstract analytical index for the Toeplitz algebra
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0.89935565
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0.88875026
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0.8861629
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