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A Survey on the Ideal Structure of Leavitt Path Algebras

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Leavitt Path Algebras and Classical K-Theory

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

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Abstract

There is extensive recent literature on the graded, non-graded, prime, primitive, maximal ideals of Leavitt path algebras. In this introductory level survey, we will be giving an overview of different types of ideals and the correspondence between the lattice of ideals and the lattice of hereditary and saturated subsets of the graph over which the Leavitt path algebra is constructed.

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Acknowledgements

The authors would like to thank the referees for a very careful, thorough reading of the paper and well-worthy comments to improve both the text and the references.

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Authors and Affiliations

  1. Department of Mathematics, Düzce University, Konuralp, 81620, Düzce, Turkey

    Müge Kanuni & Suat Sert

Authors
  1. Müge Kanuni
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  2. Suat Sert
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Corresponding author

Correspondence to Müge Kanuni .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Cochin University of Science and Technology, Cochin, Kerala, India

    A. A. Ambily

  2. Centre for Research in Mathematics, Western Sydney University, Sydney, NSW, Australia

    Roozbeh Hazrat

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

    B. Sury

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Kanuni, M., Sert, S. (2020). A Survey on the Ideal Structure of Leavitt Path Algebras. In: Ambily, A., Hazrat, R., Sury, B. (eds) Leavitt Path Algebras and Classical K-Theory. Indian Statistical Institute Series. Springer, Singapore. https://doi.org/10.1007/978-981-15-1611-5_5

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