Class information for:
Level 1: LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8105 1292 20.7 46%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
8105 1                   LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION 1292

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LEAVITT PATH ALGEBRA authKW 1591044 6% 94% 72
2 GRAPH ALGEBRA authKW 1143843 5% 77% 63
3 PARTIAL ACTION authKW 879345 3% 93% 40
4 CUNTZ KRIEGER ALGEBRA authKW 870091 3% 82% 45
5 GRAPH C ALGEBRA authKW 794511 3% 82% 41
6 CROSSED PRODUCT authKW 766625 8% 33% 97
7 C ALGEBRA authKW 622272 13% 16% 164
8 HIGHER RANK GRAPH authKW 615288 2% 96% 27
9 FELL BUNDLE authKW 476586 2% 92% 22
10 K GRAPH authKW 416871 2% 84% 21

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 67011 97% 0% 1249
2 Mathematics, Applied 3357 21% 0% 272
3 Physics, Mathematical 151 4% 0% 48
4 Statistics & Probability 10 1% 0% 16
5 Multidisciplinary Sciences -2 0% 0% 1
6 Mathematics, Interdisciplinary Applications -3 0% 0% 2
7 Physics, Nuclear -9 0% 0% 1
8 Engineering, Mechanical -11 0% 0% 1
9 Physics, Particles & Fields -11 0% 0% 1
10 Mechanics -13 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATH PL STAT 223495 7% 10% 91
2 MATH 084 129968 1% 50% 11
3 ALGEBRA GEOMETRIA TOPOL 49276 2% 9% 24
4 ENVIRONM MATH SCI 47641 1% 18% 11
5 PLUS MATH SCI BK21 47265 0% 100% 2
6 ORG SUPPORTING UNIV EDUC 31509 0% 67% 2
7 DATA INFORMAT 29681 1% 18% 7
8 ALGEBRA GEOMETRIA TROPOL 23633 0% 100% 1
9 DAVID A PASK MATH PL STAT 23633 0% 100% 1
10 EQUIPE ALAIN CONNES 23633 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF OPERATOR THEORY 146423 7% 7% 89
2 JOURNAL OF FUNCTIONAL ANALYSIS 35621 8% 2% 99
3 MATHEMATICA SCANDINAVICA 24637 3% 3% 38
4 ERGODIC THEORY AND DYNAMICAL SYSTEMS 17302 3% 2% 42
5 JOURNAL OF NONCOMMUTATIVE GEOMETRY 14934 1% 5% 13
6 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 13219 2% 3% 21
7 INTERNATIONAL JOURNAL OF MATHEMATICS 10112 2% 2% 26
8 NEW YORK JOURNAL OF MATHEMATICS 9404 1% 3% 12
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8494 6% 0% 78
10 INDIANA UNIVERSITY MATHEMATICS JOURNAL 8308 2% 1% 29

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 LEAVITT PATH ALGEBRA 1591044 6% 94% 72 Search LEAVITT+PATH+ALGEBRA Search LEAVITT+PATH+ALGEBRA
2 GRAPH ALGEBRA 1143843 5% 77% 63 Search GRAPH+ALGEBRA Search GRAPH+ALGEBRA
3 PARTIAL ACTION 879345 3% 93% 40 Search PARTIAL+ACTION Search PARTIAL+ACTION
4 CUNTZ KRIEGER ALGEBRA 870091 3% 82% 45 Search CUNTZ+KRIEGER+ALGEBRA Search CUNTZ+KRIEGER+ALGEBRA
5 GRAPH C ALGEBRA 794511 3% 82% 41 Search GRAPH+C+ALGEBRA Search GRAPH+C+ALGEBRA
6 CROSSED PRODUCT 766625 8% 33% 97 Search CROSSED+PRODUCT Search CROSSED+PRODUCT
7 C ALGEBRA 622272 13% 16% 164 Search C+ALGEBRA Search C+ALGEBRA
8 HIGHER RANK GRAPH 615288 2% 96% 27 Search HIGHER+RANK+GRAPH Search HIGHER+RANK+GRAPH
9 FELL BUNDLE 476586 2% 92% 22 Search FELL+BUNDLE Search FELL+BUNDLE
10 K GRAPH 416871 2% 84% 21 Search K+GRAPH Search K+GRAPH

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 ALBANDIK, S , MEYER, R , (2015) PRODUCT SYSTEMS OVER ORE MONOIDS.DOCUMENTA MATHEMATICA. VOL. 20. ISSUE . P. 1331 -1402 42 91% 1
2 ABRAMS, G , (2015) LEAVITT PATH ALGEBRAS: THE FIRST DECADE.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 5. ISSUE 1. P. 59 -120 42 79% 5
3 ABADIE, F , DOKUCHAEV, M , EXEL, R , SIMON, JJ , (2016) MORITA EQUIVALENCE OF PARTIAL GROUP ACTIONS AND GLOBALIZATION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 7. P. 4957 -4992 33 100% 0
4 KWASNIEWSKI, BK , SZYMANSKI, W , (2016) TOPOLOGICAL APERIODICITY FOR PRODUCT SYSTEMS OVER SEMIGROUPS OF ORE TYPE.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 270. ISSUE 9. P. 3453 -3504 28 93% 3
5 CLARK, LO , PANGALELA, YEP , (2017) COHN PATH ALGEBRAS OF HIGHER-RANK GRAPHS.ALGEBRAS AND REPRESENTATION THEORY. VOL. 20. ISSUE 1. P. 47 -70 29 100% 0
6 KANG, S , PASK, D , (2014) APERIODICITY AND PRIMITIVE IDEALS OF ROW-FINITE K-GRAPHS.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 25. ISSUE 3. P. - 30 100% 2
7 DEACONU, V , KUMJIAN, A , PASK, D , SIMS, A , (2010) GRAPHS OF C*-CORRESPONDENCES AND FELL BUNDLES.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 59. ISSUE 5. P. 1687 -1735 35 92% 4
8 KUMJIAN, A , PASK, D , SIMS, A , (2016) SIMPLICITY OF TWISTED C*-ALGEBRAS OF HIGHER-RANK GRAPHS AND CROSSED PRODUCTS BY QUASIFREE ACTIONS.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 10. ISSUE 2. P. 515 -549 31 91% 0
9 ALVES, MMS , BATISTA, E , DOKUCHAEV, M , PAQUES, A , (2016) GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 101. ISSUE 1. P. 1 -28 27 96% 0
10 KWASNIEWSKI, BK , SZYMANSKI, W , (2017) PURE INFINITENESS AND IDEAL STRUCTURE OF C*-ALGEBRAS ASSOCIATED TO FELL BUNDLES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 445. ISSUE 1. P. 898 -943 30 83% 0

Classes with closest relation at Level 1


Rank Class id link
1 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
2 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL
3 6045 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
4 19168 SHIFT OF FINITE TYPE//ZD//SOFIC
5 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
6 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
7 28000 FIRM MODULES//MORITA LIKE EQUIVALENCE//INFINITE MATRIX RINGS
8 14311 TILING SPACES//DELONE SETS//MODEL SET
9 14511 SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA
10 13959 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS

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