K(1)-Local Homotopy, Iwasawa Theory and Algebraic K-Theory

Stephen A. Mitchell ()
Additional contact information
Stephen A. Mitchell: University of Washington, Department of Mathematics

Chapter V.3 in Handbook of K-Theory, 2005, pp 955-1010 from Springer

Abstract: Abstract The Iwasawa algebra Λ is a power series ring Z ℓ[[T]], ℓ a fixed prime. It arises in number theory as the pro-group ring of a certain Galois group, and in homotopy theory as a ring of operations in ℓ-adic complex K-theory. Furthermore, these two incarnations of Λ are connected in an interesting way by algebraic K-theory. The main goal of this paper is to explore this connection, concentrating on the ideas and omitting most proofs.

Keywords: Spectral Sequence; Short Exact Sequence; Homotopy Group; Adams Spectral Sequence; Iwasawa Theory (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27855-9_19

Ordering information: This item can be ordered from
http://www.springer.com/9783540278559

DOI: 10.1007/978-3-540-27855-9_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().