COMPACT METRIC SPACES

By J. England, N. Martin. 2016

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Nilpotent Group C*-algebras as Compact Quantum Metric Spaces (2002, background): “We recall from [11] why the commutators [Ml, πf ] are bounded for f ∈ Cc(G).”
Nonunital spectral triples and metric completeness in unbounded KK-theory (2015, background): “First we recall that by [17], the norm ‖[D∗, f ]‖∞ is equal to the Lipschitz norm of f (with respect to the geodesic distance) for all f ∈ Lip0(M).”