Leavitt Path Algebras and Classical K-Theory

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—th

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A. A. Ambily  Roozbeh Hazrat  B. Sury Editors

Leavitt Path Algebras and Classical K-Theory

Indian Statistical Institute Series Editors-in-Chief Ayanendranath Basu, Indian Statistical Institute, Kolkata, India B.V. Rajarama Bhat, Indian Statistical Institute, Bengaluru, India Abhay G. Bhatt, Indian Statistical Institute, New Delhi, India Joydeb Chattopadhyay, Indian Statistical Institute, Kolkata, India S. Ponnusamy, Indian Institute of Technology Madras, Chennai, India Associate Editors Atanu Biswas, Indian Statistical Institute, Kolkata, India Arijit Chaudhuri, Indian Statistical Institute, Kolkata, India B.S. Daya Sagar, Indian Statistical Institute, Bengaluru, India Mohan Delampady, Indian Statistical Institute, Bengaluru, India Ashish Ghosh, Indian Statistical Institute, Kolkata, India S. K. Neogy, Indian Statistical Institute, New Delhi, India C. R. E. Raja, Indian Statistical Institute, Bengaluru, India T. S. S. R. K. Rao, Indian Statistical Institute, Bengaluru, India Rituparna Sen, Indian Statistical Institute, Chennai, India B. Sury, Indian Statistical Institute, Bengaluru, India

The Indian Statistical Institute Series publishes high-quality content in the domain of mathematical sciences, bio-mathematics, financial mathematics, pure and applied mathematics, operations research, applied statistics and computer science and applications with primary focus on mathematics and statistics. Editorial board comprises of active researchers from major centres of Indian Statistical Institute. Launched at the 125th birth Anniversary of P.C. Mahalanobis, the series will publish textbooks, monographs, lecture notes and contributed volumes. Literature in this series will appeal to a wide audience of students, researchers, educators, and professionals across mathematics, statistics and computer science disciplines.

More information about this series at http://www.springer.com/series/15910

A. A. Ambily Roozbeh Hazrat B. Sury •



Editors

Leavitt Path Algebras and Classical K-Theory

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Editors A. A. Ambily Department of Mathematics Cochin University of Science and Technology Cochin, Kerala, India

Roozbeh Hazrat Centre for Research in Mathematics Western Sydney University Sydney, NSW, Australia

B. Sury Statistics and Mathematics Unit Indian Statistical Institute Bengaluru, Karnataka, India

ISSN 2523-3114 ISSN 2523-3122 (electronic) Indian Statistical Institute Series ISBN 978-981-15-1610-8 ISBN 978-981-15-1611-5 (eBook) https://doi.org/10.1007/978-981-15-1611-5 © Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names,