On iterated algebraic K-theory and the red-shift conjecture:
On the first algebraic K-theory of topological K-theory (iterated algebraic K-theory):
Christian Ausoni, John Rognes, Algebraic K-theory of topological K-theory, Acta Math. Volume 188, Number 1 (2002), 1-39 (euclid:acta/1485891473)
Christian Ausoni, John Rognes, Rational algebraic K-theory of topological K-theory, Geom. Topol. 16 (2012) 2037-2065 (arXiv:0708.2160, doi:10.2140/gt.2012.16.2037)
Christian Ausoni, On the algebraic K-theory of the complex K-theory spectrum, Inventiones mathematicae volume 180, pages 611–668 (2010) (arXiv:0902.2334, doi:10.1007/s00222-010-0239-x)
Divisibility of a gerbe on the 3-sphere seen as a BDR 2-vector bundle is in
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