Matches in SemOpenAlex for { <https://semopenalex.org/work/W2470883987> ?p ?o ?g. }
- W2470883987 abstract "We develop an algebraic formalism for topological $mathbb{T}$-duality. More precisely, we show that topological $mathbb{T}$-duality actually induces an isomorphism between noncommutative motives that in turn implements the well-known isomorphism between twisted K-theories (up to a shift). In order to establish this result we model topological K-theory by algebraic K-theory. We also construct an $E_infty$-operad starting from any strongly self-absorbing $C^*$-algebra $mathcal{D}$. Then we show that there is a functorial topological K-theory symmetric spectrum construction ${bf K}_Sigma^{top}(-)$ on the category of separable $C^*$-algebras, such that ${bf K}_Sigma^{top}(mathcal{D})$ is an algebra over this operad; moreover, ${bf K}_Sigma^{top}(Ahat{otimes}mathcal{D})$ is a module over this algebra. Along the way we obtain a new symmetric spectra valued functorial model for the (connective) topological K-theory of $C^*$-algebras. We also show that $mathcal{O}_infty$-stable $C^*$-algebras are K-regular providing evidence for a conjecture of Rosenberg. We conclude with an explicit description of the algebraic K-theory of $ax+b$-semigroup $C^*$-algebras coming from number theory and that of $mathcal{O}_infty$-stabilized noncommutative tori." @default.
- W2470883987 created "2016-07-22" @default.
- W2470883987 creator A5015915417 @default.
- W2470883987 date "2015-04-23" @default.
- W2470883987 modified "2023-10-16" @default.
- W2470883987 title "Algebraic K-theory, K-regularity, and 𝕋 $mathbb {T}$ -duality of 𝒪 ∞ $mathcal {O}_{infty }$ -stable C ∗-algebras" @default.
- W2470883987 cites W140695878 @default.
- W2470883987 cites W145882559 @default.
- W2470883987 cites W1647302851 @default.
- W2470883987 cites W180865154 @default.
- W2470883987 cites W1823620696 @default.
- W2470883987 cites W1968436506 @default.
- W2470883987 cites W1971019673 @default.
- W2470883987 cites W1972047751 @default.
- W2470883987 cites W1972972955 @default.
- W2470883987 cites W1977506244 @default.
- W2470883987 cites W1978199434 @default.
- W2470883987 cites W1986198194 @default.
- W2470883987 cites W1989052388 @default.
- W2470883987 cites W1996216338 @default.
- W2470883987 cites W2003613509 @default.
- W2470883987 cites W2015755293 @default.
- W2470883987 cites W2020292717 @default.
- W2470883987 cites W2025402786 @default.
- W2470883987 cites W2027992356 @default.
- W2470883987 cites W2081386899 @default.
- W2470883987 cites W2086699210 @default.
- W2470883987 cites W2086997195 @default.
- W2470883987 cites W2133314243 @default.
- W2470883987 cites W2153266150 @default.
- W2470883987 cites W2153955345 @default.
- W2470883987 cites W2156374331 @default.
- W2470883987 cites W2167875711 @default.
- W2470883987 cites W2171397807 @default.
- W2470883987 cites W2323538163 @default.
- W2470883987 cites W2963039223 @default.
- W2470883987 cites W2963285618 @default.
- W2470883987 cites W2963854618 @default.
- W2470883987 cites W3037999612 @default.
- W2470883987 cites W3099090713 @default.
- W2470883987 cites W3101936048 @default.
- W2470883987 cites W3104793206 @default.
- W2470883987 cites W3105158170 @default.
- W2470883987 cites W3105748598 @default.
- W2470883987 cites W3121955877 @default.
- W2470883987 cites W4210301778 @default.
- W2470883987 cites W4213424362 @default.
- W2470883987 cites W4214555043 @default.
- W2470883987 cites W4235649532 @default.
- W2470883987 cites W4237248211 @default.
- W2470883987 cites W4243860073 @default.
- W2470883987 cites W4251006472 @default.
- W2470883987 cites W629529699 @default.
- W2470883987 cites W4256154666 @default.
- W2470883987 doi "https://doi.org/10.1007/s11040-015-9182-9" @default.
- W2470883987 hasPublicationYear "2015" @default.
- W2470883987 type Work @default.
- W2470883987 sameAs 2470883987 @default.
- W2470883987 citedByCount "2" @default.
- W2470883987 countsByYear W24708839872016 @default.
- W2470883987 countsByYear W24708839872019 @default.
- W2470883987 crossrefType "journal-article" @default.
- W2470883987 hasAuthorship W2470883987A5015915417 @default.
- W2470883987 hasBestOaLocation W24708839872 @default.
- W2470883987 hasConcept C114614502 @default.
- W2470883987 hasConcept C115624301 @default.
- W2470883987 hasConcept C125198404 @default.
- W2470883987 hasConcept C134306372 @default.
- W2470883987 hasConcept C136119220 @default.
- W2470883987 hasConcept C185592680 @default.
- W2470883987 hasConcept C202444582 @default.
- W2470883987 hasConcept C202833876 @default.
- W2470883987 hasConcept C203436722 @default.
- W2470883987 hasConcept C2778023678 @default.
- W2470883987 hasConcept C33923547 @default.
- W2470883987 hasConcept C37914503 @default.
- W2470883987 hasConcept C68797384 @default.
- W2470883987 hasConcept C70710897 @default.
- W2470883987 hasConcept C78606066 @default.
- W2470883987 hasConcept C8010536 @default.
- W2470883987 hasConcept C9376300 @default.
- W2470883987 hasConceptScore W2470883987C114614502 @default.
- W2470883987 hasConceptScore W2470883987C115624301 @default.
- W2470883987 hasConceptScore W2470883987C125198404 @default.
- W2470883987 hasConceptScore W2470883987C134306372 @default.
- W2470883987 hasConceptScore W2470883987C136119220 @default.
- W2470883987 hasConceptScore W2470883987C185592680 @default.
- W2470883987 hasConceptScore W2470883987C202444582 @default.
- W2470883987 hasConceptScore W2470883987C202833876 @default.
- W2470883987 hasConceptScore W2470883987C203436722 @default.
- W2470883987 hasConceptScore W2470883987C2778023678 @default.
- W2470883987 hasConceptScore W2470883987C33923547 @default.
- W2470883987 hasConceptScore W2470883987C37914503 @default.
- W2470883987 hasConceptScore W2470883987C68797384 @default.
- W2470883987 hasConceptScore W2470883987C70710897 @default.
- W2470883987 hasConceptScore W2470883987C78606066 @default.
- W2470883987 hasConceptScore W2470883987C8010536 @default.
- W2470883987 hasConceptScore W2470883987C9376300 @default.
- W2470883987 hasIssue "1" @default.
- W2470883987 hasLocation W24708839871 @default.