Algebras, graphs and their applications
 Responsibility
 Ilwoo Cho ; edited by Palle E.T. Jorgensen.
 Publication
 Boca Raton, FL : CRC Press, Taylor & Francis Group, [2014]
 Physical description
 xii, 431 pages : illustrations ; 24 cm
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA181 .C46 2014  Unknown 
More options
Creators/Contributors
 Author/Creator
 Cho, Ilwoo, author.
 Contributor
 Jørgensen, Palle E. T., 1947 editor.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Algebra on Graphs Introduction Preliminaries Groupoids under Operations Operations on Graphs Representations and Operator Algebras of Graph Groupoids Introduction Partial Isometries Graph von Neumann Algebras MDiagonal Graph W*Probability Spaces C*Subalgebras Generated by Partial Isometries Operator Theory on Graphs Introduction SelfAdjointness and Unitarity Normality of Graph Operators Operators in Free Group Factors Graph Operators Induced by Regular Trees Fractal on Graph Groupoids Introduction Labeled Graph Groupoids and Graph Automata Graph Fractaloids Labeling Operators of Graph Fractaloids GraphTheoretical Characterization Fractal Graphs Constructed by Fractal Graphs Fractal Pairs of Graph Fractaloids Equivalence Classes of Graph Fractaloids Completely Finite Fractalization FractalizedGraph von Neumann Algebras Fractalized Labeling Operators Entropy Theory on Graphs Entropy Entropy on Finite Graphs Entropy of Finite Fractal Graphs Jones Index Theory on Graph Groupoids Introduction Quotient Graphs and Graph Index Watatani's Extended Jones Index Theory Index Theory on Graph von Neumann Algebras Basic Construction Induced by FullVertex Subgraph Inclusion Ladders and Nets on Graph von Neumann Algebras IndexMorphisms Network Theory on Graphs Electric Resistance Network Theory Representations of ERNs ERNActions on Energy Hilbert Spaces Free Structures Induced by ERNGroupoids KTheory on Graphs Introduction KTheory Projections in AG Projections in M (AG) K0Groups of AG.
 (source: Nielsen Book Data)9781466590199 20160612
 Publisher's Summary
 This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graphtheoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, Ktheory, and index theory.
(source: Nielsen Book Data)9781466590199 20160612  Supplemental links
 Cover image
Subjects
 Subject
 Groupoids.
 Operator theory.
Bibliographic information
 Publication date
 2014
 ISBN
 9781466590199 (hardback)
 146659019X (hardback)