Leavitt path algebras and classical K-theory / A.A. Ambily, Roozbeh Hazrat, B. Sury, editors.

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: International Workshop on Leavitt Path Algebras and K-Theory
Other Authors: Ambily, A. A., Hazrat, Roozbeh, 1971-, Sury, B.
Format: eBook
Language:English
Published: Singapore : Springer, 2020.
Series:Indian Statistical Institute series.
Subjects:
Online Access:Click for online access

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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. 
650 0 |a C*-algebras  |v Congresses. 
650 0 |a K-theory  |v Congresses. 
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700 1 |a Ambily, A. A. 
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