… We introduce a global equivariant refinement of algebraic K-theory; here ‘global equivariant’
refers to simultaneous and compatible actions of all finite groups. Our construction turns a …

… In order to consider non-Galois extensions, we will not use the technology of equivariant
algebraic K-theory or the language of G-spectra in this paper. Instead we will work with the …

… As an application of the theory, we prove that the G-global algebraic Ktheory functor exhibits
… us to deduce the corresponding statements for global and equivariant algebraic K-theory. …

… By analogy with the definition of ordinary algebraic K-theory, in Definition 6.5 we define ∞-semiadditive
algebraic K-theory K[∞] : Catst π-fin → צ as the composition … We apply the Quillen–Lichtenbaum …

… Algebraic K-Theory similar to the well-known Atiyah-Segal completion theorem for equivariant
topological K-theory, … equivariant algebraic G-theory, for actions of linear algebraic groups …

… algebraic K-theory via a Conner–Floyd isomorphism, and that its periodic version can be
obtained from the infinite Grassmannian by inverting the Bott element (Snaith theorem). These …

… in category theory, homotopy theory, and algebraic K-theory since around 1970. There is
an … ring-like categories, their connection with algebraic K-theory and homotopy theory, and …

… algebraic K-theory of E∞-ring spectra and give two applications: we show for n ≥ 1 that K(En),
the algebraic K-theory … k), the n-fold iterated algebraic K-theory of a field k of characteristic …

… The subject of this paper is the algebraic K-theory of (structured) ring spectra. The field was
initiated by Waldhausen [Wal78], with motivations from manifold topology, cf. [WJR13], and …

… In this paper, we prove some results concerning the algebraic K-theory of ring spectra and
stable ∞-categories after T(n)-localization. Throughout this paper, our telescopes T(n) are …