عنوان

Algebras, graphs and their applications /

شابک

146659019X (hardback)

شابک

9781466590199 (hardback)

شماره

dltt

عنوان اصلي

Algebras, graphs and their applications /

نام عام مواد

[Book]

نام نخستين پديدآور

Ilwoo Cho ; edited by Palle E.T.Jorgensen

نام خاص و کميت اثر

xii, 431 pages ;

ابعاد

24 cm

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Preface -- Algebras on graphs -- Representations and operator algebras of graph groupoids -- Operator theory on graphs -- Fractals on graph groupoids -- Entropy theory on graphs -- Jones Index Theory on graph groupoids -- Network theory on graphs -- K-theory on graphs -- Index

بدون عنوان

0

متن يادداشت

"Preface 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. It makes us easy to handle graph-groupoid related structures"--

موضوع مستند نشده

Groupoids

موضوع مستند نشده

Operator theory

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Cho, Ilwoo

مستند نام اشخاص تاييد نشده

Jorgensen, Palle E.T.

تاريخ عمليات

20131104035452.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y