Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300103506> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4300103506 abstract "We introduce symmetric states and quantum symmetric states on universal unital free product C*-algebras an arbitrary unital C*-algebra A with itself infinitely many times, as a generalization of the notions of exchangeable and quantum exchangeable random variables. We prove existence of conditional expectations onto tail algebras in various settings and we define a natural C*-subalgebra of the tail algebra, called the tail C*-algebra. Extending and building on the proof of the noncommutative de Finetti theorem of Koestler and Speicher, we prove a de Finetti type theorem that characterizes quantum symmetric states in terms of amalgamated free products over the tail C*-algebra, and we provide a convenient description of the set of all quantum symmetric states on the free product C*-algebra in terms of C*-algebras generated by homomorphic images of A and the tail C*-algebra. This description allows a characterization of the extreme quantum symmetric states. Similar results are proved for the subset of tracial quantum symmetric states, though in terms of von Neumann algebras and normal conditional expectations. The central quantum symmetric states are those for which the tail algebra is in the center of the von Neumann algebra, and we show that the central quantum symmetric states form a Choquet simplex whose extreme points are the free product states, while the tracial central quantum symmetric states form a Choquet simplex whose extreme points are the free product traces." @default.
- W4300103506 created "2022-10-03" @default.
- W4300103506 creator A5016304839 @default.
- W4300103506 creator A5030146419 @default.
- W4300103506 creator A5081449142 @default.
- W4300103506 date "2013-05-30" @default.
- W4300103506 modified "2023-10-16" @default.
- W4300103506 title "Quantum symmetric states on free product C*-algebras" @default.
- W4300103506 doi "https://doi.org/10.48550/arxiv.1305.7293" @default.
- W4300103506 hasPublicationYear "2013" @default.
- W4300103506 type Work @default.
- W4300103506 citedByCount "0" @default.
- W4300103506 crossrefType "posted-content" @default.
- W4300103506 hasAuthorship W4300103506A5016304839 @default.
- W4300103506 hasAuthorship W4300103506A5030146419 @default.
- W4300103506 hasAuthorship W4300103506A5081449142 @default.
- W4300103506 hasBestOaLocation W43001035061 @default.
- W4300103506 hasConcept C105795698 @default.
- W4300103506 hasConcept C113325137 @default.
- W4300103506 hasConcept C114614502 @default.
- W4300103506 hasConcept C121332964 @default.
- W4300103506 hasConcept C122123141 @default.
- W4300103506 hasConcept C136119220 @default.
- W4300103506 hasConcept C153408630 @default.
- W4300103506 hasConcept C182514268 @default.
- W4300103506 hasConcept C191413488 @default.
- W4300103506 hasConcept C202444582 @default.
- W4300103506 hasConcept C2781311116 @default.
- W4300103506 hasConcept C33923547 @default.
- W4300103506 hasConcept C39847760 @default.
- W4300103506 hasConcept C47527751 @default.
- W4300103506 hasConcept C62438384 @default.
- W4300103506 hasConcept C62520636 @default.
- W4300103506 hasConcept C67996461 @default.
- W4300103506 hasConcept C68797384 @default.
- W4300103506 hasConcept C70120467 @default.
- W4300103506 hasConcept C80469333 @default.
- W4300103506 hasConcept C84114770 @default.
- W4300103506 hasConcept C95763700 @default.
- W4300103506 hasConceptScore W4300103506C105795698 @default.
- W4300103506 hasConceptScore W4300103506C113325137 @default.
- W4300103506 hasConceptScore W4300103506C114614502 @default.
- W4300103506 hasConceptScore W4300103506C121332964 @default.
- W4300103506 hasConceptScore W4300103506C122123141 @default.
- W4300103506 hasConceptScore W4300103506C136119220 @default.
- W4300103506 hasConceptScore W4300103506C153408630 @default.
- W4300103506 hasConceptScore W4300103506C182514268 @default.
- W4300103506 hasConceptScore W4300103506C191413488 @default.
- W4300103506 hasConceptScore W4300103506C202444582 @default.
- W4300103506 hasConceptScore W4300103506C2781311116 @default.
- W4300103506 hasConceptScore W4300103506C33923547 @default.
- W4300103506 hasConceptScore W4300103506C39847760 @default.
- W4300103506 hasConceptScore W4300103506C47527751 @default.
- W4300103506 hasConceptScore W4300103506C62438384 @default.
- W4300103506 hasConceptScore W4300103506C62520636 @default.
- W4300103506 hasConceptScore W4300103506C67996461 @default.
- W4300103506 hasConceptScore W4300103506C68797384 @default.
- W4300103506 hasConceptScore W4300103506C70120467 @default.
- W4300103506 hasConceptScore W4300103506C80469333 @default.
- W4300103506 hasConceptScore W4300103506C84114770 @default.
- W4300103506 hasConceptScore W4300103506C95763700 @default.
- W4300103506 hasLocation W43001035061 @default.
- W4300103506 hasOpenAccess W4300103506 @default.
- W4300103506 hasPrimaryLocation W43001035061 @default.
- W4300103506 hasRelatedWork W1479885642 @default.
- W4300103506 hasRelatedWork W1993188079 @default.
- W4300103506 hasRelatedWork W2139823666 @default.
- W4300103506 hasRelatedWork W2952805908 @default.
- W4300103506 hasRelatedWork W2953236571 @default.
- W4300103506 hasRelatedWork W2963773104 @default.
- W4300103506 hasRelatedWork W4293872409 @default.
- W4300103506 hasRelatedWork W4298043812 @default.
- W4300103506 hasRelatedWork W4300103506 @default.
- W4300103506 hasRelatedWork W2985042631 @default.
- W4300103506 isParatext "false" @default.
- W4300103506 isRetracted "false" @default.
- W4300103506 workType "article" @default.