§2 . Constructing Projective Modules

Chapters in this book

1. Frontmatter i
2. Preface and Guide to the Literature vii
3. Contents xiii
4. §1. Projective Modules and K₀Λ 1
5. §2 . Constructing Projective Modules 19
6. §3. The Whitehead Group K₁Λ 25
7. §4. The Exact Sequence Associated with an Ideal 33
8. §5. Steinberg Groups and the Functor K₂ 39
9. §6. Extending the Exact Sequences 53
10. §7. The Case of a Commutative Banach Algebra 57
11. §8. The Product K₁Λ ⊗ K₁Λ → K₂Λ 63
12. §9. Computations in the Steinberg Group 71
13. §10. Computation of K₂Z 81
14. §11. Matsumoto’s Computation of K₂ of a Field 93
15. 12. Proof of Matsumoto’s Theorem 109
16. §13. More about Dedekind Domains 123
17. §14. The Transfer Homomorphism 137
18. §15. Power Norm Residue Symbols 143
19. §16. Number Fields 155
20. Appendix. Continuous Steinberg Symbols 165
21. Index 183