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© 2020

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

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

About the editors

A. A. Ambily is Assistant Professor at the Department of Mathematics, Cochin University of Science and Technology, Kerala, India. She holds a Ph.D. in Mathematics from the Indian Statistical Institute, Bangalore Center, India. Her research interests include algebraic K-theory and noncommutative algebras such as Leavitt path algebras and related topics.

Roozbeh Hazrat is Professor at the School of Computer, Data and Mathematical Sciences, Western Sydney University, Australia. He obtained his Ph.D. in Mathematics from the University of Bielefeld, Germany, in 2002. His research interests include Leavitt path algebras, algebraic K-theory and noncommutative algebra. He has authored three books, including Mathematica®: A Problem-Centered Approach published by Springer, and contributed over 50 papers in respected journals. In 2015, he was awarded a one-year fellowship for experienced researchers by Germany's Alexander von Humboldt Foundation.

B. Sury is Professor at the Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore Center, India. He received his Ph.D. from the Tata Institute of Fundamental Research, Mumbai, India, in 1991. His research interests include algebraic groups over global and local fields, division algebras, and number theory. He has authored three books and published several research papers in leading international journals. An elected fellow of The National Academy of Sciences, India, Prof. Sury is the national coordinator for the Mathematics Olympiad Program in India.

Bibliographic information