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Leavitt path algebras [electronic resource]

Leavitt path algebras [electronic resource]

자료유형
E-Book(소장)
개인저자
Abrams, Gene, 1955-. Ara, Pere, 1959-. Siles Molina, Mercedes.
서명 / 저자사항
Leavitt path algebras [electronic resource] / Gene Abrams, Pere Ara, Mercedes Siles Molina.
발행사항
London :   Springer,   c2017.  
형태사항
1 online resource (xiii, 289 p.).
총서사항
Lecture notes in mathematics,0075-8434 ; 2191
ISBN
9781447173434 9781447173441 (eBook)
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Algebra. K-theory. Operator theory.
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020 ▼a 9781447173434
020 ▼a 9781447173441 (eBook)
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100 1 ▼a Abrams, Gene, ▼d 1955-.
245 1 0 ▼a Leavitt path algebras ▼h [electronic resource] / ▼c Gene Abrams, Pere Ara, Mercedes Siles Molina.
260 ▼a London : ▼b Springer, ▼c c2017.
300 ▼a 1 online resource (xiii, 289 p.).
490 1 ▼a Lecture notes in mathematics, ▼x 0075-8434 ; ▼v 2191
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Algebra.
650 0 ▼a K-theory.
650 0 ▼a Operator theory.
700 1 ▼a Ara, Pere, ▼d 1959-.
700 1 ▼a Siles Molina, Mercedes.
830 0 ▼a Lecture notes in mathematics ; ▼v 2191.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-1-4471-7344-1
945 ▼a KLPA
991 ▼a E-Book(소장)

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목차

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.

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