Entropy and index for subfactors

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August undefined, 2024

WebApr 1, 2010 · PDF For finite dimensional abelian subalgebras of a finite von Neumann algebra, we obtain the value of conditional relative entropy defined by M.... Find, read and cite all the research you ... WebNov 27, 2004 · Radulescu, Florin Random matrices, amalgamated free products and subfactors in free group factors of noninteger index. Inventiones mathematicae 115 (1994), 347-389. Kenley The free entropy ...

A short note on relative entropy for a pair of intermediate subfactors

WebCONJUGATE PAIRS OF SUBFACTORS AND ENTROPY FOR AUTOMORPHISMS M. Choda Mathematics 2010 Based 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 … 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 … robert e tompkins

CONJUGATE PAIRS OF SUBFACTORS AND ENTROPY FOR …

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 … 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 … WebJ. 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 robert e thorne

[1909.01906] Relative entropy for von Neumann subalgebras - a…

A short note on relative entropy for a pair of intermediate subfactors

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 … http://www.numdam.org/item/ASENS_1986_4_19_1_57_0/ robert e thorn fieldWebMay 9, 2024 · Given a quadruple of finite index subfactors we explicitly compute the Pimsner-Popa probabilistic constant for the pair of intermediate subfactors and relate it … robert e thompson vietnam

"WebD. 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 " - Entropy and index for subfactors

Entropy and index for subfactors

WebSemantic Scholar extracted view of "Entropy of groups and subfactors" by D. Bisch 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 …

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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; … WebDec 3, 2024 · In this paper we quantify such statement by defining a quantity which measures the failure of such duality, and identify this quantity with relative entropy and …

Web[Po2] Popa, S.: Relative dimension, towers of projections and commuting squares of subfactors. Pac. J. Math.137, 95–122 (1989) Google Scholar [Po3] Popa, S.: Matrices entiéres et algébres envelopantes associées aux sousfacteurs. Preprint 1990 [Po4] Popa, S.: On a problem of R. V. Kadison on maximal abelian *-subalgebras in factors. WebEntropy and index for subfactors Pimsner, Mihai ; Popa, Sorin Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 19 (1986) no. 1, pp. 57-106. Détail Export …

WebFeb 9, 2024 · Given a quadruple of finite index subfactors we explicitly compute the Pimsner-Popa probabilistic constant for the pair of intermediate subfactors and relate it with the corresponding Connes ... WebarXiv:math/0402108v1 [math.OA] 7 Feb 2004 INDECOMPOSABILITY OF FREE GROUP FACTORS OVER NONPRIME SUBFACTORS AND ABELIAN SUBALGEBRAS …

WebEntropy and index for subfactors - CORE Reader robert e vingi jr wells fargo charleston scWebEntropy and index for subfactors Mihai Pimsner, Sorin Popa 01 Jan 1986-Annales Scientifiques De L Ecole Normale Superieure(Elsevier)-Vol. 19, Iss: 1, pp 57-106 … robert e towneWebAdvancing research. Creating connections. robert e w hancockWebJun 25, 2024 · The selection of experimental index values is built on preliminary work, some of which can be seen in [16,19]. ... is adopted herein to evaluate the influence of subfactors (CTR, SC, T, and FC) on the parent factor (UCS) . A grey correlation model with four factors and three levels is established, in which the CTRs are 1:4, 1:6, and 1:8, the ... robert e wallaceWebJul 19, 2024 · Conformal field theory (CFT) in two dimensions provides a rich source of subfactors. The fact that there are so many subfactors coming from CFT have led people to conjecture that perhaps all finite depth subfactors are related to CFT. In this paper we examine classes of subfactors from known CFT. In particular we identify the so called … robert e turner waco txhttp://www.sciepub.com/reference/116507 robert e walsh obitWebJul 1, 2024 · Based on that, we introduce a new notation of maximal relative entropy for a inclusion of finite von Neumann algebras. These maximal relative entropy generalizes … robert e warren sacramento ca