Matches in SemOpenAlex for { <https://semopenalex.org/work/W2982529259> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2982529259 endingPage "952" @default.
- W2982529259 startingPage "950" @default.
- W2982529259 abstract "Let $mathcal{M}$ be a type II$_1$ von Neumann factor and let $S(mathcal{M})$ be the associated Murray-von Neumann algebra of all measurable operators affiliated to $mathcal{M}.$ We extend a result of Kadison and Liu cite{KL} by showing that any derivation from $S(mathcal{M})$ into an $mathcal{M}$-bimodule $mathcal{B}subsetneq S(mathcal{M})$ is trivial. In the special case, when $mathcal{M}$ is the hyperfinite type II$_1-$factor $mathcal{R}$, we introduce the algebra $AD(mathcal{R})$, a noncommutative analogue of the algebra of all almost everywhere approximately differentiable functions on $[0,1]$ and show that it is a proper subalgebra of $S(mathcal{R})$. This algebra is strictly larger than the corresponding ring of continuous geometry introduced by von Neumann. Further, we establish that the classical approximate derivative on (classes of) Lebesgue measurable functions on $[0,1]$ admits an extension to a derivation from $AD(mathcal{R})$ into $S(mathcal{R})$, which fails to be spatial. Finally, we show that for a Cartan masa $mathcal{A}$ in a hyperfinite II$_1-$factor $mathcal{R}$ there exists a derivation $delta$ from $mathcal{A}$ into $S(mathcal{A})$ which does not admit an extension up to a derivation from $mathcal{R}$ to $S(mathcal{R}).$" @default.
- W2982529259 created "2019-11-08" @default.
- W2982529259 creator A5024933296 @default.
- W2982529259 creator A5053434619 @default.
- W2982529259 creator A5079947779 @default.
- W2982529259 date "2019-10-01" @default.
- W2982529259 modified "2023-09-23" @default.
- W2982529259 title "Derivations on Murray–von Neumann algebras" @default.
- W2982529259 cites W1966469902 @default.
- W2982529259 cites W1967307038 @default.
- W2982529259 cites W1990412526 @default.
- W2982529259 cites W2043123795 @default.
- W2982529259 cites W2043805475 @default.
- W2982529259 cites W2075018430 @default.
- W2982529259 cites W2126038653 @default.
- W2982529259 cites W2135418125 @default.
- W2982529259 cites W2160956414 @default.
- W2982529259 cites W230776994 @default.
- W2982529259 cites W2320266418 @default.
- W2982529259 cites W2334696079 @default.
- W2982529259 cites W3103756577 @default.
- W2982529259 cites W4235622836 @default.
- W2982529259 doi "https://doi.org/10.1070/rm9902" @default.
- W2982529259 hasPublicationYear "2019" @default.
- W2982529259 type Work @default.
- W2982529259 sameAs 2982529259 @default.
- W2982529259 citedByCount "5" @default.
- W2982529259 countsByYear W29825292592018 @default.
- W2982529259 countsByYear W29825292592020 @default.
- W2982529259 countsByYear W29825292592022 @default.
- W2982529259 countsByYear W29825292592023 @default.
- W2982529259 crossrefType "journal-article" @default.
- W2982529259 hasAuthorship W2982529259A5024933296 @default.
- W2982529259 hasAuthorship W2982529259A5053434619 @default.
- W2982529259 hasAuthorship W2982529259A5079947779 @default.
- W2982529259 hasBestOaLocation W29825292592 @default.
- W2982529259 hasConcept C100376341 @default.
- W2982529259 hasConcept C114614502 @default.
- W2982529259 hasConcept C136119220 @default.
- W2982529259 hasConcept C138081561 @default.
- W2982529259 hasConcept C153408630 @default.
- W2982529259 hasConcept C18903297 @default.
- W2982529259 hasConcept C199360897 @default.
- W2982529259 hasConcept C202444582 @default.
- W2982529259 hasConcept C202615002 @default.
- W2982529259 hasConcept C2777299769 @default.
- W2982529259 hasConcept C2778029271 @default.
- W2982529259 hasConcept C33923547 @default.
- W2982529259 hasConcept C41008148 @default.
- W2982529259 hasConcept C67996461 @default.
- W2982529259 hasConcept C68797384 @default.
- W2982529259 hasConcept C80469333 @default.
- W2982529259 hasConcept C81999800 @default.
- W2982529259 hasConcept C86803240 @default.
- W2982529259 hasConceptScore W2982529259C100376341 @default.
- W2982529259 hasConceptScore W2982529259C114614502 @default.
- W2982529259 hasConceptScore W2982529259C136119220 @default.
- W2982529259 hasConceptScore W2982529259C138081561 @default.
- W2982529259 hasConceptScore W2982529259C153408630 @default.
- W2982529259 hasConceptScore W2982529259C18903297 @default.
- W2982529259 hasConceptScore W2982529259C199360897 @default.
- W2982529259 hasConceptScore W2982529259C202444582 @default.
- W2982529259 hasConceptScore W2982529259C202615002 @default.
- W2982529259 hasConceptScore W2982529259C2777299769 @default.
- W2982529259 hasConceptScore W2982529259C2778029271 @default.
- W2982529259 hasConceptScore W2982529259C33923547 @default.
- W2982529259 hasConceptScore W2982529259C41008148 @default.
- W2982529259 hasConceptScore W2982529259C67996461 @default.
- W2982529259 hasConceptScore W2982529259C68797384 @default.
- W2982529259 hasConceptScore W2982529259C80469333 @default.
- W2982529259 hasConceptScore W2982529259C81999800 @default.
- W2982529259 hasConceptScore W2982529259C86803240 @default.
- W2982529259 hasIssue "5" @default.
- W2982529259 hasLocation W29825292591 @default.
- W2982529259 hasLocation W29825292592 @default.
- W2982529259 hasOpenAccess W2982529259 @default.
- W2982529259 hasPrimaryLocation W29825292591 @default.
- W2982529259 hasRelatedWork W1977051412 @default.
- W2982529259 hasRelatedWork W1978733005 @default.
- W2982529259 hasRelatedWork W1983366713 @default.
- W2982529259 hasRelatedWork W1986489273 @default.
- W2982529259 hasRelatedWork W2032985646 @default.
- W2982529259 hasRelatedWork W2530212042 @default.
- W2982529259 hasRelatedWork W2982529259 @default.
- W2982529259 hasRelatedWork W3016498284 @default.
- W2982529259 hasRelatedWork W3212106953 @default.
- W2982529259 hasRelatedWork W2985042631 @default.
- W2982529259 hasVolume "74" @default.
- W2982529259 isParatext "false" @default.
- W2982529259 isRetracted "false" @default.
- W2982529259 magId "2982529259" @default.
- W2982529259 workType "article" @default.