Twisted Group C*-Algebras as Compact Quantum Metric Spaces
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DOI: 10.1007/s00025-016-0562-7
Abstract: We construct a class of compact quantum metric spaces. We prove that twisted reduced group C*-algebras for discrete groups with twisted rapid decay property are compact quantum metric spaces, which contain noncommutative tori, hyperbolic reduced… read more here.
Keywords: quantum metric; group algebras; compact quantum; metric spaces ... See more keywords
Inductive limits of compact quantum groups and their unitary representations
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DOI: 10.1007/s11005-021-01468-0
Abstract: We will introduce the notion of inductive limits of compact quantum groups as $W^*$-bialgebras equipped with some additional structures. We also formulate their unitary representation theories. Those give a more explicit representation-theoretic meaning to our… read more here.
Keywords: inductive limits; unitary representations; quantum groups; compact quantum ... See more keywords
Ergodic Actions of Compact Quantum Groups from Solutions of the Conjugate Equations
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DOI: 10.1215/21562261-2017-0005
Abstract: AbstractWe use a tensor C ∗ –category with conjugates and two quasitensor func-tors into the category of Hilbert spaces to define a C ∗ –algebra dependingfunctorially on this data. A particular case of this construction… read more here.
Keywords: conjugate equations; ergodic actions; actions compact; quantum groups ... See more keywords