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|Title:||Hermitian K-theory of the integers|
|Authors:||Berrick, A.J. |
|Source:||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|
|Appears in Collections:||Staff Publications|
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