Fourier transform for paragroups and its application to the depth two case (Q1364329)
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scientific article; zbMATH DE number 1051624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier transform for paragroups and its application to the depth two case |
scientific article; zbMATH DE number 1051624 |
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Fourier transform for paragroups and its application to the depth two case (English)
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25 August 1997
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Summary: We prove that the flatness condition in Ocneanu's paragroup theory for graphs with depth two is equivalent to existence of the multiplicative unitaries in the theory of Baaj-Skandalis by using ``Fourier transform'' introduced by A. Ocneanu. Moreover, from two Kac algebras dual to each other, we construct a subfactor as a crossed product by a Kac algebra action, with the string algebra construction.
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flatness condition
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Ocneanu's paragroup theory
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graphs with depth two
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multiplicative unitaries
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theory of Baaj-Skandalis
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Kac algebras dual
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subfactor
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crossed product
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Kac algebra action
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string algebra construction
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