Metrics on states from actions of compact groups

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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.
Publication version. Very minor corrections. 20 pages AMSTEX

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Operator Algebras, 46L87 (primary) 58B30, 60B10 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77169

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807084
 http://arxiv.org/abs/math/9807084
 Documenta Mathematica 3 (1998) 215-229

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arXiv