Geodesic
Metrics on states from actions of compact groups
Documenta mathematica, Tome 3 (1998), pp. 215-230

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Let a compact Lie group act ergodically on a unital C∗-algebra A. We consider several ways of using this structure to define metrics on the state space of A. These ways involve length functions, norms on the Lie algebra, and Dirac operators. The main thrust is to verify that the corresponding metric topologies on the state space agree with the weak-* topology.
DOI : 10.4171/dm/41
Classification : 46L87, 60B10 
Marc A. Rieffel. Metrics on states from actions of compact groups. Documenta mathematica, Tome 3 (1998), pp. 215-230. doi: 10.4171/dm/41
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     title = {Metrics on states from actions of compact groups},
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     doi = {10.4171/dm/41},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/41/}
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