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Abstract We give an exposition of two fundamental results of the theory of crossed products. One of these states that every regular representation of a reduced crossed product is faithful… Click to show full abstract
Abstract We give an exposition of two fundamental results of the theory of crossed products. One of these states that every regular representation of a reduced crossed product is faithful whenever the underlying Hilbert space representation of the C ∗ -algebra that together with an automorphism group gives rise to the crossed product is faithful. The other result states that a full and a reduced crossed products coincide whenever their common underlying automorphism group is amenable.
Keywords:
crossed products;
note crossed
Journal Title: Expositiones Mathematicae
Year Published: 2019
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Journal Title: Expositiones Mathematicae
Year Published: 2019
Link to full text (if available)
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recommendations!