Topological K - Theory of the Integers at the Prime 2
نویسنده
چکیده
Recent results of Voevodsky and others have effectively led to the proof of the Lichtenbaum-Quillen conjectures at the prime 2, and consequently made it possible to determine the 2-local homotopy type of the K-theory spectra for various number rings. The basic case is that of BGL(Z); in this note we use these results to determine the 2-local (topological) K-theory of the space BGL(Z), which can be described as a completed tensor product of two quite simple components; one corresponds to a real ‘image of J’ space, the other to BBSO.
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تاریخ انتشار 1999