國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Leavitt path algebras

Abrams, Gene.

Leavitt path algebras

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Leavitt path algebrasby Gene Abrams, Pere Ara, Mercedes Siles Molina.
作者:	Abrams, Gene.
其他作者:	Ara, Pere.
出版者:	London :Springer London :2017.
面頁冊數:	xiii, 289 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
電子資源:	http://dx.doi.org/10.1007/978-1-4471-7344-1
ISBN:	9781447173441$q(electronic bk.)

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 ;2035..

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$q(electronic bk.)

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

184409
Mathematics.

LC Class. No.: QA251.5

Dewey Class. No.: 512.46

Leavitt path algebras
LDR:02481nmm a2200325 a 4500 001 525326
003 DE-He213
005 20180523140830.0
006 m d
007 cr nn 008maaau
008 180904s2017 enk s 0 eng d
020 $a 9781447173441$q(electronic bk.)
020 $a 9781447173434$q(paper)
024 7 $a 10.1007/978-1-4471-7344-1 $2 doi
035 $a 978-1-4471-7344-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA251.5
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 512.46 $2 23
090 $a QA251.5 $b .A161 2017
100 1 $a Abrams, Gene. $3 797613
245 1 0 $a Leavitt path algebras $h [electronic resource] / $c by Gene Abrams, Pere Ara, Mercedes Siles Molina.
260 $a London : $b Springer London : $b Imprint: Springer, $c 2017.
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 184409
650 0 $a Associative rings. $3 345364
650 0 $a Rings (Algebra) $3 190979
650 0 $a K-theory. $3 190877
650 0 $a Operator theory. $3 229156
650 0 $a Graph theory. $3 181880
650 2 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a K-Theory. $3 277863
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Graph Theory. $3 522732
700 1 $a Ara, Pere. $3 797614
700 1 $a Siles Molina, Mercedes. $3 797615
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u http://dx.doi.org/10.1007/978-1-4471-7344-1
950 $a Mathematics and Statistics (Springer-11649)