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Leavitt path algebras and classical ...

Ambily, A. A.

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Leavitt path algebras and classical K-theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Leavitt path algebras and classical K-theory/ edited by A. A. Ambily, Roozbeh Hazrat, B. Sury.
other author:	Ambily, A. A.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xv, 335 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	C*-algebras - Congresses. -
Online resource:	https://doi.org/10.1007/978-981-15-1611-5
ISBN:	9789811516115

Leavitt path algebras and classical K-theory
Leavitt path algebras and classical K-theory[electronic resource] /edited by A. A. Ambily, Roozbeh Hazrat, B. Sury. - Singapore :Springer Singapore :2020. - xv, 335 p. :ill., digital ;24 cm. - Indian statistical institute series,2523-3114. - Indian statistical institute series..

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.

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.

ISBN: 9789811516115

Standard No.: 10.1007/978-981-15-1611-5doiSubjects--Topical Terms:

725745
C*-algebras
--Congresses.

LC Class. No.: QA326 / .L438 2020

Dewey Class. No.: 512.55

Leavitt path algebras and classical K-theory
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245 0 0 $a Leavitt path algebras and classical K-theory $h [electronic resource] / $c edited by A. A. Ambily, Roozbeh Hazrat, B. Sury.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xv, 335 p. : $b ill., digital ; $c 24 cm.
490 1 $a Indian statistical institute series, $x 2523-3114
505 0 $a 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.
520 $a 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.
650 0 $a C*-algebras $x Congresses. $3 725745
650 0 $a K-theory $v Congresses. $3 595316
650 1 4 $a K-Theory. $3 897432
650 2 4 $a Non-associative Rings and Algebras. $3 891108
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Category Theory, Homological Algebra. $3 899944
700 1 $a Ambily, A. A. $3 3447650
700 1 $a Hazrat, Roozbeh. $3 1086548
700 1 $a Sury, B. $3 3447651
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Indian statistical institute series. $3 3332607
856 4 0 $u https://doi.org/10.1007/978-981-15-1611-5
950 $a Mathematics and Statistics (Springer-11649)