LEADER 00842nas 2200337 c 450 001 9910894070903321 005 20221214154540.0 035 $a(CKB)5280000000203840 035 $a(DE-599)ZDB2916633-0 035 $a(DE-101)1150662611 035 $a(EXLCZ)995280000000203840 100 $a20180115a20179999 |y | 101 0 $ager 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aVeolutions Magazin$fVeolia Deutschland GmbH 210 31$aBerlin$d[2017] - 215 $aOnline-Ressource 608 $aZeitschrift$2gnd-content 676 $a330 676 $a333.7 676 $a624 801 0$b0109 801 1$bDE-101 801 2$b0109 906 $aJOURNAL 912 $a9910894070903321 996 $aVeolutions Magazin$94229876 997 $aUNINA LEADER 03324oam 2200577I 450 001 9910953613403321 005 20251117101418.0 010 $a0-429-07388-7 010 $a1-4665-9019-X 024 7 $a10.1201/b15455 035 $a(CKB)2670000000395032 035 $a(EBL)1375223 035 $a(SSID)ssj0000876645 035 $a(PQKBManifestationID)11495020 035 $a(PQKBTitleCode)TC0000876645 035 $a(PQKBWorkID)10905952 035 $a(PQKB)11113029 035 $a(MiAaPQ)EBC1375223 035 $a(OCoLC)858282234 035 $a(EXLCZ)992670000000395032 100 $a20180331d2014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebras, graphs and their applications /$fIlwoo Cho ; edited by Palle E.T. Jorgensen 205 $a1st ed. 210 1$aBoca Raton :$cCRC Press,$d[2014] 215 $a1 online resource (442 p.) 300 $aDescription based upon print version of record. 311 08$a1-4665-9020-3 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Dedication; Preface; Contents; Chapter 1: Algebra on Graphs; Chapter 2: Representations and Operator Algebras of Graph Groupoids; Chapter 3: Operator Theory on Graphs; Chapter 4: Fractals on Graph Groupoids; Chapter 5: Entropy Theory on Graphs; Chapter 6: Jones Index Theory on Graph Groupoids; Chapter 7: Network Theory on Graphs; Chapter 8: K-Theory on Graphs 330 $aPreface In this book, we consider algebra on directed graphs. From combinatorial objects, direct graphs, we establish corresponding algebraic objects which become groupoids. We call such groupoids graph groupoids. Connected with groupoid theory, we investigate the properties of graph groupoids. From this investigation, we can realize that graph groupoids act like the free groups in group theory. In other words, the study of graph groupoids is understood as groupoidal version of free-group theory. As application, we observe how graph groupoids are playing their role in different mathematical and scientific areas, including general groupoid theory, representation theory, automata theory, operator algebra (von Neumann algebra theory, C*-algebra theory, free probability, and index theory), noncommutative dynamical systems (groupoid dynamical systems), operator theory (spectral theory), fractal theory, information theory (entropy theory), and network theory, etc. We can check all operated groupoids (for instance, groupoid sums, product groupoids, quotient groupoids, etc) of graph groupoids are graph groupoids, too. This means that the study of operated groupoids of graph groupoids becomes nothing but studying other graph groupoids. 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Translated from the Italian by Marion Rawson 205 $a1st ed. 210 $aLondon ;$aNew York $cRoutledge$d2010 215 $a1 online resource (119 p.) 225 0 $aRoutledge library editions.Responding to fascism ;$vv. 4 300 $aFirst published in English in 1936. 311 08$a0-415-84741-9 311 08$a0-415-58075-7 327 $aBOOK COVER; TITLE01; COPYRIGHT01; TITLE02; COPYRIGHT02; PREFACE TO THE ENGLISH EDITION; AUTHOR'S PREFACE; TRANSLATOR'S NOTE; CHAPTER I; CHAPTER II; CHAPTER III; CHAPTER IV; CHAPTER V; CHAPTER VI; CHAPTER VII; CHAPTER VIII; CHAPTER IX; CHAPTER X; CHAPTER XI; CHAPTER XII; CHAPTER XIII; CHAPTER XIV; CHAPTER XV; CHAPTER XVI; CHAPTER XVII; CHAPTER XVIII; CHAPTER XIX; CHAPTER XX; CHAPTER XXI; CHAPTER XXII; CHAPTER XXIII; CHAPTER XXIV; CHAPTER XXV 330 $aEmilio Lussu was an Italian MP and Professor of Political Economy, who was imprisoned because of his opposition to Mussolini. In 1929 he escaped with two fellow prisoners from the island of Lipari. Enter Mussolini combines an account of Mussolini's rise to power and a critique of the Italian fascist movement that was influential at a time when many observers were still sympathetic to fascism, at least in its Italian guise. It was first published in English in 1936. 410 0$aRoutledge library editions.$pResponding to fascism ;$vVolume 4. 606 $aFascism$zItaly 606 $aPolitical crimes and offenses$zItaly 615 0$aFascism 615 0$aPolitical crimes and offenses 676 $a327.4504309045 676 $a945.09 676 $a945.091 700 $aLussu$b Emilio$f1890-1975.$0199505 701 $aRawson$b Marion$0214923 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910954193203321 996 $aEnter Mussolini$94494464 997 $aUNINA