Toeplitz operators and algebras (Q2276737)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toeplitz operators and algebras |
scientific article |
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Toeplitz operators and algebras (English)
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1991
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A ``quotient-factorization'' theorem is proved for the Toeplitz algebra of a lexicographic product of ordered groups. This is used to determine for what finite-rank ordered groups the corresponding Toeplitz algebra is of type I. These turn out to be the groups \({\mathbb{Z}}^ n\) lexicographically ordered. Some aspects of the Toeplitz operator theory are analysed in this case, and an index theorem is established.
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quotient-factorization theorem
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Toeplitz algebra
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lexicographic product of ordered groups
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finite-rank ordered groups
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index theorem
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