258 Hepatobiliary disease in Cystic Fibrosis patients

Popa, I.; Pop, Liviu; Popa, Z.; Turcu, Simona

doi:10.1016/s1569-1993(06)80235-3

Cited by 2 publications

(4 citation statements)

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“…One says [1,27,Chapter 4], that B has property (T) relative to A, or that A is corigid in B, if there are a finite set F ⊂ B and ε > 0 such that if (H, ξ) is a pointed Hilbert bimodule over A ⊂ B with xξ − ξ x < ε for x ∈ F, then there is a B-central unit vector in H . (This is not to be confused with rigidity of the inclusion A ⊂ B [31].)…”

Section: Pointed Bimodules and Representationsmentioning

confidence: 99%

“…In particular, based on the general theory of correspondences and rigidity developed in [27], Popa introduced the notion of property (T) for subfactors [30] as an antithesis of amenability, which played a central role in the classification. Since any finitely generated rigid C * -tensor category can be realized as a part of the standard invariant [29], it is natural to try to borrow from this theory to formulate various notions for C * -tensor categories.…”

Section: Introductionmentioning

confidence: 99%

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Drinfeld Center and Representation Theory for Monoidal Categories

Neshveyev

Yamashita

2016

Commun. Math. Phys.

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Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C * -tensor category C and a unitary half-braiding on an ind-object, we construct a * -representation of the fusion algebra of C. This allows us to present an alternative approach to recent results of Popa and Vaes, who defined C * -algebras of monoidal categories and introduced property (T) for them. As an example we analyze categories C of Hilbert bimodules over a II 1 -factor. We show that in this case the Drinfeld center is monoidally equivalent to a category of Hilbert bimodules over another II 1 -factor obtained by the Longo-Rehren construction. As an application, we obtain an alternative proof of the result of Popa and Vaes stating that property (T) for the category defined by an extremal finite index subfactor N ⊂ M is equivalent to Popa's property (T) for the corresponding SE-inclusion of II 1 -factors. In the last part of the paper we study Müger's notion of weakly monoidally Morita equivalent categories and analyze the behavior of our constructions under the equivalence of the corresponding Drinfeld centers established by Schauenburg. In particular, we prove that property (T) is invariant under weak monoidal Morita equivalence.

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Section: Pointed Bimodules and Representationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Drinfeld Center and Representation Theory for Monoidal Categories

Neshveyev

Yamashita

2016

Commun. Math. Phys.

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“…The aquifer from the top of the 5 th layer is bench-shaped (1)(2)(3)(4)(5), separated by sandy clay, with 0.55 to 18.51 metres thickness. The sandy horizons consist of fine sands, dusty clay sands, which can be found on the top of the V layer, at a distance of 1.2 to 9.5 metres.…”

Section: The Hydrogeological Description Of the Areamentioning

confidence: 99%

“…Waters protection remains a priority among worldwide issues due to the efforts people make to ensure the compatibility among the economic development, the rational usage of natural resources, keeping the ecologic balance and improving the quality of this environmental factor. [4] The impact of extracting coal in Lupoaia open pit consists of changes in both quantity and quality of ground and surface waters.…”

Section: Estimating the Impactmentioning

confidence: 99%

The Impact of Exploiting Lignite in Lupoaia Open Pit on Environmental Water

Iladie

2021

Mining Revue

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The impact of extracting lignite in Lupoaia open pit over waters is local and regional, and temporary. The hydrographic network in Lupoaia open pit depends on River Motru, with its afluents, Ploștina and Lupoița Valley Rivers. The aquifers are to be found in the coal layers V-XII, mainly of sands formation. The impact over water in Lupoaia consists of water pollution and of changes in both the quality and the quantity of ground and surface waters. The surface waters are polluted resulting in industrial wastewaters, household wastewaters and waste rainwater. The wastewater is polluted within maximum admitted limits. The quality of groundwaters is influenced and modified by extracting coal resulting in the extinction of some aquifers. Environmental risks that can occur when extracting lignite are water floods, landslides, disasters which can be prevented by building guard channels around the open pit. The actions for reducing the impact are, in general, accomplished through monitoring both the water pollutants and the morphological changes caused by extracting lignite. That is why wastewater treatment plants must function. The impact of the activity in Lupoaia open pit over the hydrographic net of the area is to be observed during the entire extracting period, and monitoring this activity is highly demanded by the European environmental protection laws.

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258 Hepatobiliary disease in Cystic Fibrosis patients

Cited by 2 publications

References 0 publications

Drinfeld Center and Representation Theory for Monoidal Categories

Drinfeld Center and Representation Theory for Monoidal Categories

The Impact of Exploiting Lignite in Lupoaia Open Pit on Environmental Water

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