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- W4228996610 abstract "Abstract A $C^{*}$ -algebra A is said to detect nuclearity if, whenever a $C^{*}$ -algebra B satisfies $Aotimes _{mathrm{min}} B = Aotimes _{mathrm{max}} B,$ it follows that B is nuclear. In this note, we survey the main results associated with this topic and present the background and tools necessary for proving the main results. In particular, we show that the $C^{*}$ -algebra $A = C^{*}(mathbb {F}_{infty })otimes _{mathrm{min}} B(ell ^{2})/K(ell ^{2})$ detects nuclearity. This result is known to experts, but has never appeared in the literature." @default.
- W4228996610 created "2022-05-08" @default.
- W4228996610 creator A5053043337 @default.
- W4228996610 date "2022-05-05" @default.
- W4228996610 modified "2023-09-29" @default.
- W4228996610 title "ON -ALGEBRAS WHICH DETECT NUCLEARITY" @default.
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- W4228996610 doi "https://doi.org/10.1017/s0004972722000387" @default.
- W4228996610 hasPublicationYear "2022" @default.
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