Description
Algebras, Graphs and their Applications
Author: Cho Ilwoo
Language: English
Subjects for Algebras, Graphs and their Applications:
Keywords
Von Neumann Algebras; Finite Path; Operator Theory on Graphs; Partial Isometries; Fractal on Graph Groupoids; Conditional Expectation; Entropy Theory on Graphs; Quotient Graph; Network Theory on Graphs; Finite Graph; K-Theory on Graphs; Hilbert Space; Fractal Graph; Tree T2; Graph G1; Tw Lw; Operator Lw; Graph Ga; Finite Tree; Toeplitz Operators; Graph Operators; Graph Inclusion; Tw1 Tw2; Isometric Extension; Automata Actions; Loop Edge; Crossed Product Algebra; Homotopic Relation; Unioned Graph; Graph Theoretical Characterization
Support: Print on demand
Description
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This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic 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, K-theory, and index theory.
Algebra on Graphs. Representations and Operator Algebras of Graph Groupoids. Operator Theory on Graphs. Fractal on Graph Groupoids. Entropy Theory on Graphs. Jones Index Theory on Graph Groupoids. Network Theory on Graphs. K-Theory on Graphs.
