The Resource Leavitt Path Algebras, by Gene Abrams, Pere Ara, Mercedes Siles Molina, (electronic resource)

Leavitt Path Algebras, by Gene Abrams, Pere Ara, Mercedes Siles Molina, (electronic resource)

Label
Leavitt Path Algebras
Title
Leavitt Path Algebras
Statement of responsibility
by Gene Abrams, Pere Ara, Mercedes Siles Molina
Creator
Contributor
Author
Author
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Abrams, Gene
Dewey number
512.46
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • tpifDyTDgEk
  • yRMfJwDbVcs
  • x7jiXt3chs8
Image bit depth
0
LC call number
QA251.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Ara, Pere.
  • Siles Molina, Mercedes.
Series statement
Lecture Notes in Mathematics,
Series volume
2191
http://library.link/vocab/subjectName
  • Algebra
  • K-theory
  • Operator theory
  • Associative Rings and Algebras
  • K-Theory
  • Operator Theory
  • Graph Theory
Label
Leavitt Path Algebras, by Gene Abrams, Pere Ara, Mercedes Siles Molina, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
1st ed. 2017.
Extent
1 online resource (XIII, 289 p.)
File format
multiple file formats
Form of item
online
Isbn
9781447173441
Isbn Type
(ebook)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-7344-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (DE-He213)978-1-4471-7344-1
  • (EXLCZ)994340000000223117
Label
Leavitt Path Algebras, by Gene Abrams, Pere Ara, Mercedes Siles Molina, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
1st ed. 2017.
Extent
1 online resource (XIII, 289 p.)
File format
multiple file formats
Form of item
online
Isbn
9781447173441
Isbn Type
(ebook)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-7344-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (DE-He213)978-1-4471-7344-1
  • (EXLCZ)994340000000223117

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