Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor.
Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to a...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1972 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
72 |
| Online Access: | |
| Physical Description: | 1 online resource (200 p.) |
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Table of Contents:
- Frontmatter
- Preface and Guide to the Literature
- Contents
- §1. Projective Modules and K0Λ
- §2 . Constructing Projective Modules
- §3. The Whitehead Group K1Λ
- §4. The Exact Sequence Associated with an Ideal
- §5. Steinberg Groups and the Functor K2
- §6. Extending the Exact Sequences
- §7. The Case of a Commutative Banach Algebra
- §8. The Product K1Λ ⊗ K1Λ → K2Λ
- §9. Computations in the Steinberg Group
- §10. Computation of K2Z
- §11. Matsumoto's Computation of K2 of a Field
- 12. Proof of Matsumoto's Theorem
- §13. More about Dedekind Domains
- §14. The Transfer Homomorphism
- §15. Power Norm Residue Symbols
- §16. Number Fields
- Appendix. Continuous Steinberg Symbols
- Index