Twisted Group C *-Algebras as Compact Quantum Metric Spaces
Results in Mathematics(2016)
摘要
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 group C *-algebras and discrete Heisenberg group C *-algebras, and that the compact quantum metric space structures depend only on the cohomology class of 2-cocycles in the Lipschitz isometric sense.
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关键词
Discrete group,length function,2-cocycle,twisted reduced group C*-algebra,compact quantum metric space,Lip-norm,rapid decay property
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