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
Corporate Author:	SpringerLink (Online service)
Other Authors:	Ambily, A. A. (Editor), Hazrat, Roozbeh (Editor), Sury, B. (Editor)
Format:	eBook
Language:	English
Published:	Singapore : Springer Singapore : Imprint: Springer, 2020.
Edition:	1st ed. 2020.
Series:	Indian Statistical Institute Series,
Subjects:	K-theory. Nonassociative rings. Rings (Algebra). Group theory. Commutative algebra. Commutative rings. Category theory (Mathematics). Homological algebra. K-Theory. Non-associative Rings and Algebras. Group Theory and Generalizations. Commutative Rings and Algebras. Category Theory, Homological Algebra. Electronic books.
Online Access:	Connect to the full text of this electronic book

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.