Standard homogeneous C*-algebras as compact quantum metric spaces
نویسندگان
چکیده
منابع مشابه
Group C-algebras as Compact Quantum Metric Spaces
Let l be a length function on a group G, and let Ml denote the operator of pointwise multiplication by l on l(G). Following Connes, Ml can be used as a “Dirac” operator for C ∗ r (G). It defines a Lipschitz seminorm on C∗ r (G), which defines a metric on the state space of C∗ r (G). We investigate whether the topology from this metric coincides with the weak-∗ topology (our definition of a “com...
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Let l be a length function on a group G, and let Ml denote the operator of pointwise multiplication by l on l(G). Following Connes, Ml can be used as a “Dirac” operator for C ∗ r (G). It defines a Lipschitz seminorm on C∗ r (G), which defines a metric on the state space of C∗ r (G). We show that if G is a hyperbolic group and if l is a word-length function on G, then the topology from this metr...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2020
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc120-7