Junction type representations of the Temperley-Lieb algebra and associated symmetries.
Doikou, Anastasia, Karaiskos, Nikos (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Doikou, Anastasia, Karaiskos, Nikos (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Iorgov, Nikolai (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hopkins, Mark J., Molev, Alexander I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kuniba, Atsuo, Nakanishi, Tomoki, Suzuki, Junji (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Skrypnik, Wolodymyr (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Karakhanyan, David, Kirschner, Roland (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Coquereaux, Robert, Schieber, Gil (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Belliard, Samuel, Pakuliak, Stanislav, Ragoucy, Eric (2010)
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Dorlas, Teunis C., Skrypnik, Wolodymyr I. (2008)
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Konno, Hitoshi (2006)
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Murty, M.S.N., Anjaneyulu, D., Kumar, G.Suresh (2011)
The Journal of Nonlinear Sciences and its Applications
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Marcin Marciniak (1998)
Banach Center Publications
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We introduce the notion of a completely quantum C*-system (A,G,α), i.e. a C*-algebra A with an action α of a compact quantum group G. Spectral properties of completely quantum systems are investigated. In particular, it is shown that G-finite elements form the dense *-subalgebra of A. Furthermore, properties of ergodic systems are studied. We prove that there exists a unique α-invariant state ω on A. Its properties are described by a family of modular operators acting on . It turns...