Топологически Свободные Частичные Действия И Точные Представления Скрещенных Произведений

Лебедев, А. В.

doi:10.4213/faa74

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…. , g n ∈ G \ {e} the union F g 1 ∪ F g 2 ∪ · · · ∪ F gn has empty interior in A (see [36]). This only depends on the partial G-action on A induced by the Fell bundle.…”

Section: Definition 43 a Hilbert A-bimodule X Is Topologically Non-mentioning

confidence: 99%

Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

Kwaśniewski

Meyer

2018

Studia Math.

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Abstract. We generalise various non-triviality conditions for group actions to Fell bundles over discrete groups and prove several implications between them. We also study sufficient criteria for the reduced section C * -algebra C * r (B) of a Fell bundle B = (B g ) g∈G to be strongly purely infinite. If the unit fibre A := B e contains an essential ideal that is separable or of Type I, then B is aperiodic if and only if B is topologically free. If, in addition, G = Z or G = Z/p for a square-free number p, then these equivalent conditions are satisfied if and only if A detects ideals in C * r (B), if and only if A + \ {0} supports C * r (B) + \ {0} in the Cuntz sense. For G as above and arbitrary A, C * r (B) is simple if and only if B is minimal and pointwise outer. In general, B is aperiodic if and only if each of its non-trivial fibres has a non-trivial Connes spectrum. If G is finite or if A contains an essential ideal that is of Type I or simple, then aperiodicity is equivalent to pointwise pure outerness.

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“…. , g n ∈ G \ {e} the union F g 1 ∪ F g 2 ∪ · · · ∪ F gn has empty interior in A (see [36]). This only depends on the partial G-action on A induced by the Fell bundle.…”

Section: Definition 43 a Hilbert A-bimodule X Is Topologically Non-mentioning

confidence: 99%

Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

Kwaśniewski

Meyer

2018

Studia Math.

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Twisted Products: Enveloping Actions and Equivariant Absolute Neighborhood Extensors

Martínez,

Pinedo

2024

Bull Braz Math Soc, New Series

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Crossed product of aC*-algebra by an endomorphism, coefficient algebras and transfer operators

Antonevich¹,

Bakhtin²,

Лебедев³

2011

Sb. Math.

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Топологически Свободные Частичные Действия И Точные Представления Скрещенных Произведений

Cited by 4 publications

References 12 publications

Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles

Twisted Products: Enveloping Actions and Equivariant Absolute Neighborhood Extensors

Crossed product of aC*-algebra by an endomorphism, coefficient algebras and transfer operators

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