Entropy and index for subfactors
WebBased on the fact that, for a subfactor N of a II1 factor M, the first nontrivial Jones index is two and then M is decomposed as the crossed product of N by an outer action of ℤ2, we study pairs {N, uNu*} from the view-point of entropy for two subalgebras of M in connection with the entropy for automorphisms, where the inclusion of II1 factors N ⊂ M is given … WebJan 1, 1992 · We show that the classical notion of entropy of a finitely generated group G as introduced by A. Avez (C. R. Acad. Sci. Paris 275A, 1972, 1363–1366) is related by …
Entropy and index for subfactors
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WebEntropy and index for subfactors Mihai Pimsner; Sorin Popa. Annales scientifiques de l'École Normale Supérieure (1986) Volume: 19, Issue: 1, page 57-106; ISSN: 0012-9593; … WebNov 3, 2024 · The goal of this ambitious project is to understand the non-commutative conditional/relative entropy and find applications in Jones' subfactor theory. The study of multiple subfactors was ...
WebarXiv:math/0402108v1 [math.OA] 7 Feb 2004 INDECOMPOSABILITY OF FREE GROUP FACTORS OVER NONPRIME SUBFACTORS AND ABELIAN SUBALGEBRAS MARIUS B. S¸TEFAN Abstract. We use the free ent WebEntropy and index for subfactors - CORE Reader
WebMay 27, 2024 · The impact score (IS) 2024 of Entropy is 2.94, which is computed in 2024 as per its definition.Entropy IS is decreased by a factor of 0.07 and approximate … WebWe construct one parameter families of inclusions of nonhyperfinite type II1 factorsN s ⊂M s , with trivial relative commutant (N s )′∩M s =ℂ and with the Jones' index [M s ∶N s ]=s ranging over the sets∈{4 cos2π/n n≧4}∪[4, ∞), by using Markov traces on certain universal algebras associated to a given algebra and to the Jones' sequence of projections. This …
WebEntropy [string] computes the information entropy of the characters in string. Entropy can handle symbolic data. With the option setting SameTest -> f , Entropy [ list , … ] applies …
WebEntropy is a scientific concept, as well as a measurable physical property, that is most commonly associated with a state of disorder, randomness, or uncertainty. The term and … small garden picnic tableWebindex for a pair of a factor and one of its subfactors. The second aim is to intro duce the entropy of Pimsnerand Popa's type for arbitrary von Neumann algebras and to establish … songs to end wedding receptionWebCitations in EuDML Documents. Qiaoling Xin, Lining Jiang, Zhenhua Ma, The basic construction from the conditional expectation on the quantum double of a finite group. … small garden pond with waterfallWebJ. Math. Soc. Japan Vol. 43, No. 2, 1991 Minimum index for subfactors and entropy. II By Fumio HIAI (Received June 18, 1990) Introduction. V. Jones [22] constructed his songs to feel goodWebAdvancing research. Creating connections. songs to feel powerfulWebD. Bisch: On the structure of finite depth subfactors In: Algebraic Methods in Operator Theory, Birkhäuser, Basel-Boston-Stuttgart, 1994, pp. 175–194 Google Scholar F. Boca: On the method of constructing irreducible finite index subfactors of Popa. Pac. J. Math 161 (1993) 201–231 songs to fire you upWebJan 8, 2013 · One could be very optimistic and hope that in infinite depth all integer index subfactors come from (possibly infinite) discrete groups in some suitably general fashion. For example, Bisch-Haagerup subfactors come from certain triples of discrete groups.But I have no idea how one would even try to make "suitably general fashion" precise. songs to freestyle to