Periodicity of hermitianK-groups
نویسندگان
چکیده
منابع مشابه
Periodicity of Hermitian K-groups
Bott periodicity for the unitary and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with nite coe¢ cients, similar results are consequences of the Milnor and Bloch-Kato conjectures, a¢ rmed by Voevodsky, Rost and others. More generally, we prove that periodicity of the algebraic K-groups for any ring implies periodici...
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As an application of our papers [2], [4], in favourable cases we prove the periodicity of hermitian K-groups with a shorter period than previously obtained. We also compute the homology and cohomology with eld coe¢ cients of in nite orthogonal and symplectic groups of speci c rings of integers in a number eld.
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ژورنال
عنوان ژورنال: Journal of K-theory
سال: 2011
ISSN: 1865-2433,1865-5394
DOI: 10.1017/is011004009jkt151