共查询到20条相似文献,搜索用时 15 毫秒
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Jon Kraus 《Journal of Functional Analysis》1980,39(3):347-374
Let G be a compact abelian group, acting σ-weakly continuously as a group of 1-automorphisms α on a von Neumann algebra . We give necessary and sufficient conditions for α to be inner, based on the structure of the lattice of projections in the center of the fixed-point algebra. As an application, we show that if α satisfies a spectrum condition with respect to a suitably chosen positive semigroup in the dual of G, then α is inner, and the implementing unitary representation can be chosen with positive spectrum. 相似文献
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Joachim Cuntz 《Mathematische Annalen》1978,233(2):145-153
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Summary Let Γ=〈g
1〉*〈g
2〉*...*〈g
n
〉*... be a free product of cyclic groups with generators {g
i
}, andC
r
*
(Γ,℘
Λ) be the C*-algebra generated by the reduced group C*-algebraC
r
*
Γ and a set of projectionsP
gL associated with a subset Λ of {g
i
}. We prove the following: (1)C
r
*
(Γ,℘
Λ) is *-isomorphic to the reduced cross product
for certain Hausdorff compact spaceX
Λ constructed from Γ and its boundary ∂Γ. (2)C
r
*
(Γ,℘
Λ) is either a purely infinite, simple C*-algebra or an extension of a purely infinite, simple C*-altebra, depending on the
pair (Γ, Λ). (3)C
r
*
(Г,℘
Λ) is nuclear if and only if the subgroup ΓΛ generated by {g
i
}/Λ is amenable.
Partially supported by RMC grant 45/290/603 from the University of Newcastle
Partially supported by NSF grant DMS-9225076 and a Taft travel grant from the University of Cincinnati 相似文献
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Let K be a finite abelian group and let H be the holomorph of K. It is shown that every Coleman automorphism of H is an inner automorphism. As an immediate consequence of this result, it is obtained that the normalizer property holds for H. 相似文献
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We prove that the automorphisms of any separable C*-algebra that does not have continuous trace are not classifiable by countable structures up to unitary equivalence. This implies a dichotomy for the Borel complexity of the relation of unitary equivalence of automorphisms of a separable unital C*-algebra: Such relation is either smooth or not even classifiable by countable structures. 相似文献
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Mathematische Zeitschrift - 相似文献
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Dan Z. Kučerovský 《Positivity》2014,18(3):595-601
We obtain two characterizations of the bi-inner Hopf *-automorphisms of a finite-dimensional Hopf C*-algebra, by means of an analysis of the structure of convolution products in this class of Hopf C*-algebra. 相似文献
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José M. Isidro 《Central European Journal of Mathematics》2007,5(3):512-522
Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball
in a J*-algebra
of operators. Let
be the family of all collectively compact subsets W contained in
. We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family
is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when
is a Cartan factor.
相似文献
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