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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—this book allows readers from diverse mathematical backgr...

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Bibliographic Details
Other Authors: Ambily, A. A. (Editor), Hazrat, Roozbeh (Editor), Sury, B. (Editor)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2020, 2020
Edition:1st ed. 2020
Series:Indian Statistical Institute Series
Subjects:
Group Theory And Generalizations
K-theory
Commutative Algebra
Group Theory
Commutative Rings And Algebras
Nonassociative Rings
Algebra, Homological
Commutative Rings
Category Theory, Homological Algebra
Non-associative Rings And Algebras
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Chapter 1. Morita Equivalent Leavitt Path Algebras
  • Chapter 2. A survey on the ideal structure of Leavitt path algebras
  • Chapter 3. The injective and projective Leavitt complexes
  • Chapter 4. Graph C*-algebras
  • Chapter 5. Steinberg Algebras
  • Chapter 6. Leavitt path algebras
  • Chapter 7. Relating the principles of Quillen-Suslin theory
  • Chapter 8. Action on Alternating matrices and Compound matrices
  • Chapter 9. On the relative Quillen-Suslin Local Global Principle
  • Chapter 10. On the non-injectivity of the Vaserstein symbol for real threefolds
  • Chapter 11. The quotient Unimodular Vector group is nilpotent
  • Chapter 12. Symplectic linearization of an alternating polynomial matrix
  • Chapter 13. On a theorem of Suslin
  • Chapter 14. On a group structure on unimodular rows of length three over a two dimensional ring.-Chapter 15. On an algebraic analogue of the Mayer-Vietoris sequence
  • Chapter 16. On the completability of unimodular rows of length three
  • Chapter 17. Sandwich classification for classical-like groups over commutative rings
  • Chapter 18. A Survey on applications of K-theory in affine algebraic geometry
  • Chapter 19. On the non-infectivity of the Vaserstein Symbol in dimension three
  • Chapter 20. A survey on affine monoids and K-theory
  • Chapter 21. A Survey on the elementary orthogonal groups

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