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Leavitt path algebras

Abrams, Gene.

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Leavitt path algebras

Record Type:	Electronic resources : Monograph/item
Title/Author:	Leavitt path algebras/ by Gene Abrams, Pere Ara, Mercedes Siles Molina.
Author:	Abrams, Gene.
other author:	Ara, Pere.
Published:	London :Springer London : : 2017.,
Description:	xiii, 289 p. :ill., digital ;24 cm.
[NT 15003449]:	1 The basics of Leavitt path algebras: motivations, definitions and examples -- 2 Two-sided ideals -- 3 Idempotents, and finitely generated projective modules -- 4 General ring-theoretic results -- 5 Graph C*-algebras, and their relationship to Leavitt path algebras -- 6 K-theory -- 7 Generalizations, applications, and current lines of research -- References -- Index.
Contained By:	Springer eBooks
Subject:	Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-1-4471-7344-1
ISBN:	9781447173441

Leavitt path algebras
Abrams, Gene.

Leavitt path algebras[electronic resource] /by Gene Abrams, Pere Ara, Mercedes Siles Molina. - London :Springer London :2017. - xiii, 289 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21910075-8434 ;. - Lecture notes in mathematics ;2191..

1 The basics of Leavitt path algebras: motivations, definitions and examples -- 2 Two-sided ideals -- 3 Idempotents, and finitely generated projective modules -- 4 General ring-theoretic results -- 5 Graph C*-algebras, and their relationship to Leavitt path algebras -- 6 K-theory -- 7 Generalizations, applications, and current lines of research -- References -- Index.

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.

ISBN: 9781447173441

Standard No.: 10.1007/978-1-4471-7344-1doiSubjects--Topical Terms:

515831
Mathematics.

LC Class. No.: QA251.5

Dewey Class. No.: 512.46

Leavitt path algebras
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100 1 $a Abrams, Gene. $3 3270413
245 1 0 $a Leavitt path algebras $h [electronic resource] / $c by Gene Abrams, Pere Ara, Mercedes Siles Molina.
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300 $a xiii, 289 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2191
505 0 $a 1 The basics of Leavitt path algebras: motivations, definitions and examples -- 2 Two-sided ideals -- 3 Idempotents, and finitely generated projective modules -- 4 General ring-theoretic results -- 5 Graph C*-algebras, and their relationship to Leavitt path algebras -- 6 K-theory -- 7 Generalizations, applications, and current lines of research -- References -- Index.
520 $a This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.
650 0 $a Mathematics. $3 515831
650 0 $a Associative rings. $3 668071
650 0 $a Rings (Algebra) $3 540500
650 0 $a K-theory. $3 542533
650 0 $a Operator theory. $3 542531
650 0 $a Graph theory. $3 523815
650 2 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a K-Theory. $3 897432
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Graph Theory. $3 1567033
700 1 $a Ara, Pere. $3 3270414
700 1 $a Siles Molina, Mercedes. $3 3270415
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