Leavitt path algebras and classical K-theory
著者
書誌事項
Leavitt path algebras and classical K-theory
（Indian Statistical Institute series）
Springer, c2020
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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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