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Morita Equivalent Twisted Actions and a New Version of the Packer‐Raeburn Stabilization Trick
Author(s) -
Echterhoff Siegfried
Publication year - 1994
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/50.1.170
Subject(s) - morita therapy , covariant transformation , action (physics) , mathematics , domain (mathematical analysis) , algebra over a field , pure mathematics , group (periodic table) , group action , physics , mathematical physics , mathematical analysis , quantum mechanics
We show that every twisted action (α, τ) of a locally compact group G on a C ∗‐algebra A is Morita equivalent to an ordinary action of G / N τ , where N τ is the domain of τ. This result allows us to apply many results known for ordinary covariant systems to the more general twisted case. Especially, this is true for results which are obtained by the Mackey machine.