Class information for:
Level 1: SUBFACTORS//PLANAR ALGEBRAS//GRAPH GROUPOIDS

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
170 3       MATHEMATICS//JOURNAL OF ALGEBRA//MATH 59224
1020 2             C ALGEBRA//MATHEMATICS//CROSSED PRODUCT 10592
8601 1                   SUBFACTORS//PLANAR ALGEBRAS//GRAPH GROUPOIDS 1268

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SUBFACTORS authKW 1650088 7% 74% 90
2 PLANAR ALGEBRAS authKW 919085 3% 86% 43
3 GRAPH GROUPOIDS authKW 399041 1% 94% 17
4 DEFORMATION RIGIDITY THEORY authKW 347955 1% 100% 14
5 PROPERTY T authKW 293062 2% 47% 25
6 II1 FACTORS authKW 268296 2% 47% 23
7 VON NEUMANN ALGEBRA authKW 262286 6% 15% 72
8 JONES INDEX authKW 247071 1% 76% 13
9 UMPA UMR 5669 address 231960 1% 67% 14
10 ORBIT EQUIVALENCE authKW 224286 1% 48% 19

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 63295 95% 0% 1206
2 Mathematics, Applied 1424 14% 0% 182
3 Physics, Mathematical 218 4% 0% 55
4 Logic 32 0% 0% 5
5 Statistics & Probability -1 0% 0% 5
6 Multidisciplinary Sciences -2 0% 0% 1
7 Automation & Control Systems -4 0% 0% 1
8 Operations Research & Management Science -4 0% 0% 1
9 Mathematics, Interdisciplinary Applications -5 0% 0% 1
10 Physics, Nuclear -7 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UMPA UMR 5669 231960 1% 67% 14
2 UNITE MIXTE RECH 5669 74562 0% 100% 3
3 SB MATHGEOM EGG 37278 0% 50% 3
4 AG TOPOL 24854 0% 100% 1
5 BLOOMINGTON MATH 24854 0% 100% 1
6 GEOMETR ALGEBRE TOPOL 24854 0% 100% 1
7 MALOTT HALL MATH 24854 0% 100% 1
8 MATEMAT UAM 24854 0% 100% 1
9 NAT WISSEN AFTLICH TECH FAK 1 24854 0% 100% 1
10 SB IMB EGG 24854 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF FUNCTIONAL ANALYSIS 49366 9% 2% 115
2 GROUPS GEOMETRY AND DYNAMICS 48137 2% 7% 27
3 INTERNATIONAL JOURNAL OF MATHEMATICS 45487 4% 3% 55
4 JOURNAL OF OPERATOR THEORY 24500 3% 3% 36
5 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 17568 2% 2% 30
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS 15976 3% 2% 40
7 PACIFIC JOURNAL OF MATHEMATICS 13313 4% 1% 50
8 COMPLEX ANALYSIS AND OPERATOR THEORY 9409 1% 2% 16
9 MATHEMATICA SCANDINAVICA 9339 2% 2% 23
10 INVENTIONES MATHEMATICAE 9011 3% 1% 34

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SUBFACTORS 1650088 7% 74% 90 Search SUBFACTORS Search SUBFACTORS
2 PLANAR ALGEBRAS 919085 3% 86% 43 Search PLANAR+ALGEBRAS Search PLANAR+ALGEBRAS
3 GRAPH GROUPOIDS 399041 1% 94% 17 Search GRAPH+GROUPOIDS Search GRAPH+GROUPOIDS
4 DEFORMATION RIGIDITY THEORY 347955 1% 100% 14 Search DEFORMATION+RIGIDITY+THEORY Search DEFORMATION+RIGIDITY+THEORY
5 PROPERTY T 293062 2% 47% 25 Search PROPERTY+T Search PROPERTY+T
6 II1 FACTORS 268296 2% 47% 23 Search II1+FACTORS Search II1+FACTORS
7 VON NEUMANN ALGEBRA 262286 6% 15% 72 Search VON+NEUMANN+ALGEBRA Search VON+NEUMANN+ALGEBRA
8 JONES INDEX 247071 1% 76% 13 Search JONES+INDEX Search JONES+INDEX
9 ORBIT EQUIVALENCE 224286 1% 48% 19 Search ORBIT+EQUIVALENCE Search ORBIT+EQUIVALENCE
10 GRAPH VON NEUMANN ALGEBRAS 198831 1% 100% 8 Search GRAPH+VON+NEUMANN+ALGEBRAS Search GRAPH+VON+NEUMANN+ALGEBRAS

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 9681 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
2 27370 BOUNDARY REALIZATION//HOMOGENEOUS TREE//RANGE CHARACTERIZATIONS
3 12589 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
4 26643 QUANTUM DYNAMICAL ENTROPY//QUANTUM MUTUAL ENTROPY//DYNAMICAL ENTROPY
5 32101 UNIQUENESS OF NORM//TRANSLATION INVARIANT FUNCTIONALS//LACUNARY SEQUENCE OF PARTIAL SUMS
6 9573 ALGEBRAIC QUANTUM FIELD THEORY//HADAMARD STATES//REVIEWS IN MATHEMATICAL PHYSICS
7 19456 SOFIC GROUPS//ALGEBRAIC ENTROPY//ALGEBRAIC ACTION
8 38534 INNER OPERATIONS//POSITIVE LINEAR FORMS//SUPERFIDELITY
9 5969 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
10 14240 ERGODIC THEORY AND DYNAMICAL SYSTEMS//C F CONSTRUCTION//INFINITE MEASURE PRESERVING

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