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Restricting a compact action to an injective subfactor

Published online by Cambridge University Press:  19 September 2008

Roberto Longo
Affiliation:
Dipartimento di Matematica, Seconda Università di Roma ‘Tor Vergata’ Via Orazio Raimondo, 00173 Rome, Italy
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Suppose we are given an action α: G → Aut (M) of a group G on a factor M; α possible way to analyse α may be to look at the invariant components where the action becomes more tractable. This point of view naturally leads to the study of the injective invariant subalgebras (recall for instance the good properties shared by amenable discrete or compact actions in the hyperfinite case [14]).

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Research Article
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Copyright © Cambridge University Press 1989