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|a Leavitt Path Algebras and Classical K-Theory /
|c edited by A. A. Ambily, Roozbeh Hazrat, B. Sury
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| 250 |
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|a 1st ed. 2020
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| 264 |
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1 |
|a Singapore :
|b Springer Singapore :
|b Imprint: Springer,
|c 2020
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| 300 |
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|a 1 online resource (XV, 335 p. 17 illus., 1 illus. in color.)
|b online resource
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|a text
|b txt
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|b PDF
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|a Indian Statistical Institute Series,
|x 2523-3114
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| 505 |
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|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
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| 520 |
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|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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| 650 |
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|a Category theory (Mathematics)
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| 650 |
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|a Commutative algebra
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| 650 |
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|a Commutative rings
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| 650 |
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|a Group theory
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| 650 |
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|a Homological algebra
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| 650 |
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|a K-theory
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| 650 |
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|a Nonassociative rings
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| 650 |
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0 |
|a Rings (Algebra)
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| 650 |
1 |
4 |
|a K-Theory
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| 650 |
2 |
4 |
|a Category Theory, Homological Algebra
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| 650 |
2 |
4 |
|a Commutative Rings and Algebras
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| 650 |
2 |
4 |
|a Group Theory and Generalizations
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| 650 |
2 |
4 |
|a Non-associative Rings and Algebras
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| 655 |
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|a Electronic books
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| 700 |
1 |
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|a Ambily, A. A
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Hazrat, Roozbeh
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Sury, B
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 710 |
2 |
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|a SpringerLink (Online service)
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|z 9789811516108
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|x 2523-3114
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