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Leavitt Path Algebras and Classical K-Theory

  • A. A. Ambily
  • Roozbeh Hazrat
  • B. Sury
Conference proceedings

Part of the Indian Statistical Institute Series book series (INSIS)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Leavitt Path Algebras

    1. Front Matter
      Pages 1-1
    2. Lisa Orloff Clark, Roozbeh Hazrat
      Pages 73-101
    3. Müge Kanuni, Suat Sert
      Pages 121-137
  3. Classical K-Theory

    1. Front Matter
      Pages 177-177
    2. Bhatoa Joginder Singh, Selby Jose
      Pages 183-191
    3. Neena Gupta, Dhvanita R. Rao, Sagar Kolte
      Pages 193-202
    4. Ravi A. Rao, Selby Jose
      Pages 203-209
    5. Rabeya Basu, Reema Khanna, Ravi A. Rao
      Pages 211-223
    6. Reema Khanna, Selby Jose, Sampat Sharma, Ravi A. Rao
      Pages 225-240
    7. Raja Sridharan, Sunil K. Yadav
      Pages 241-260
    8. Raja Sridharan, Sumit Kumar Upadhyay, Sunil K. Yadav
      Pages 261-279
    9. Raja Sridharan, Sunil K. Yadav
      Pages 281-306
    10. Anjan Gupta, Raja Sridharan, Sunil K. Yadav
      Pages 307-329
    11. Ravi A. Rao, Sunil K. Yadav
      Pages 331-335

About these proceedings

Introduction

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and its related emerging fields—this book allows readers from diverse mathematical backgrounds to understand and appreciate these structures. The articles on LPAs are mostly of an expository nature and the ones dealing with K-theory provide new proofs and are accessible to interested students and beginners of the field.  It is a useful resource for graduate students and researchers working in this field and related areas, such as C*-algebras and symbolic dynamics.

Keywords

Graph C*-algebras Quillen-Suslin theory Graded Steinberg Algebras Injective Leavitt Complex Sandwich classification

Editors and affiliations

  • A. A. Ambily
    • 1
  • Roozbeh Hazrat
    • 2
  • B. Sury
    • 3
  1. 1.Department of MathematicsCochin University of Science and TechnologyCochinIndia
  2. 2.Centre for Research in MathematicsWestern Sydney UniversitySydneyAustralia
  3. 3.Statistics and Mathematics UnitIndian Statistical InstituteBengaluruIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-15-1611-5
  • Copyright Information Springer Nature Singapore Pte Ltd. 2020
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-15-1610-8
  • Online ISBN 978-981-15-1611-5
  • Series Print ISSN 2523-3114
  • Series Online ISSN 2523-3122
  • Buy this book on publisher's site