Harmonic function spaces of probability measures on fusion algebras
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Publication:1581081
DOI10.2977/prims/1195143102zbMath0969.46045OpenAlexW2024353212MaRDI QIDQ1581081
Publication date: 14 September 2000
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195143102
subfactorsalmost ergodicity\(C^*\)-tensor categoriesergodicity for amenable fusion algebrasharmonic function spacesprobability measures on fusion algebras
Subfactors and their classification (46L37) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
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Cites Work
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- Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
- Extension of Jones' theory on index of arbitrary factors
- Application of fusion rules to classification of subfactors
- Minimal index and braided subfactors
- Tensor categories with fusion rules of self-duality for finite abelian groups
- A theory of dimension
- The Poisson boundary of covering Markov operators
- Classification of subfactors: The reduction to commuting squares
- Minimizing indices of conditional expectations onto a subfactor
- Index for subfactors
- An axiomatization of the lattice of higher relative commutants of a subfactor
- Symmetric enveloping algebras amenability and AFD properties for subfactors
- Amenable tensor categories and their realizations as AFD bimodules
- Entropy and index for subfactors
- II 1 Factors, Their Bimodules and Hypergroups
- AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY
- A NOTE ON OCNEANU'S APPROACH TO JONES' INDEX THEORY
- Composition of subfactors : new examples of infinite depth subfactors