Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103369
Title: Hermitian K-theory of the integers
Authors: Berrick, A.J. 
Karoubi, M.
Issue Date: Aug-2005
Citation: Berrick, A.J.,Karoubi, M. (2005-08). Hermitian K-theory of the integers. American Journal of Mathematics 127 (4) : 785-823. ScholarBank@NUS Repository.
Abstract: Rognes and Weibel used Voevodsky's work on the Milnor conjecture to deduce the strong Dwyer-Friedlander form of the Lichtenbaum-Quillen conjecture at the prime 2. In consequence (the 2-completion of) the classifying space for algebraic K-theory of the integers ℤ[1/2] can be expressed as a fiber product of well-understood spaces BO and BGL(double-struck F sign 3)+ over BU. Similar results are now obtained for Hermitian K-theory and the classifying spaces of the integral symplectic and orthogonal groups. For the integers ℤ[1/2], this leads to computations of the 2-primary Hermitian K-groups and affirmation of the Lichtenbaum-Quillen conjecture in the framework of Hermitian K-theory.
Source Title: American Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103369
ISSN: 00029327
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

30
checked on Oct 12, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.