Notes on amenability of commutative fusion algebras (Q1961282)
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scientific article; zbMATH DE number 1389562
| Language | Label | Description | Also known as |
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| English | Notes on amenability of commutative fusion algebras |
scientific article; zbMATH DE number 1389562 |
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Notes on amenability of commutative fusion algebras (English)
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14 February 2001
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One of the prominent features of amenable fusion algebras is that the assumed dimension function is uniquely determined by the fusion algebra itself. It is proved by \textit{V. S. Sunder} [Trans. Am. Math. Soc. 330, No. 1, 227-256 (1992; Zbl 0757.46053)] that there exists a unique dimension function for finite dimensional fusion algebras. The basic result in the paper is the following Theorem. A commutative \(F^*\)-algebra is amenable if and only if the associated regular representation is bounded.
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amenable fusion algebras
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commutative fusion algebra
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hypergroup
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dimension functions
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commutative \(F^*\)-algebra
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regular representation
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