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Leavitt path algebras and classical ...

Ambily, A. A.

Leavitt path algebras and classical K-theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Leavitt path algebras and classical K-theoryedited by A. A. Ambily, Roozbeh Hazrat, B. Sury.
其他作者:	Ambily, A. A.
出版者:	Singapore :Springer Singapore :2020.
面頁冊數:	xv, 335 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	C*-algebrasCongresses.
電子資源:	https://doi.org/10.1007/978-981-15-1611-5
ISBN:	9789811516115$q(electronic bk.)

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$q(electronic bk.)

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

445736
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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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.
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700 1 $a Ambily, A. A. $3 861055
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