Cu-nuclearity implies LLP and exactness

dc.contributor.author	Ivanescu, Cristian
dc.contributor.author	Kucerovsky, Dan
dc.date.accessioned	2021-12-21
dc.date.accessioned	2022-05-31T01:44:56Z
dc.date.available	2022-05-31T01:44:56Z
dc.date.issued	2021
dc.description.abstract	The Cu-nuclearity property is an analogue of Skandalis's notion of K-nuclearity, adapted to the case of Cuntz semigroups of C-algebras. We prove that this implies nuclearity, and we introduce a weaker form of the condition. We prove that the new condition weak Cu-nuclearity, for simple separable C-algebras, implies exactness and the local lifting property (LLP). We also prove that if A is a simple C-algebra with the weak Cu-nuclearity property, and B is any simple C-algebra, then A ⊗min B = A ⊗max B. We prove that Cu-nuclearity does imply nuclearity, and that in some cases this is also true for weak Cu-nuclearity.
dc.format.extent	702.26KB
dc.format.mimetype	PDF
dc.identifier.citation	Ivanscu, I., & Kucerovsky, D. (2021). Cu-nuclearity implies LLP and exactness. New York Journal of Mathematics, 27, 918-922. https://nyjm.albany.edu/j/2021/27-36v.pdf
dc.identifier.uri	https://hdl.handle.net/20.500.14078/2520
dc.language	English
dc.language.iso	en
dc.rights	All Rights Reserved
dc.subject	Cu-nuclearity
dc.subject	local lifting property (LLP)
dc.title	Cu-nuclearity implies LLP and exactness	en
dc.type	Article
dspace.entity.type

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