20 citations · 48 across the 8 of their papers we have counts for
8 papers
Algebraic K-theory of real topological K-theory
Gabriel Angelini-Knoll, Christian Ausoni, John Rognes
We determine the A(1)-homotopy of the topological cyclic homology of the connective real K-theory spectrum ko. The answer has an associated graded that is a free F_2[v_2^4]-module…
Adjunction of roots, algebraic -theory and chromatic redshift
Christian Ausoni, Haldun Özgür Bayındır, Tasos Moulinos
Given an -ring and a class satisfying a suitable hypothesis, we define a map of -rings realizing the adjunction of an th ro…
Algebraic K-theory of elliptic cohomology
Gabriel Angelini-Knoll, Christian Ausoni, Dominic Leon Culver +2
We calculate the mod (p, v_1, v_2) homotopy V(2)_* TC(BP<2>) of the topological cyclic homology of the truncated Brown--Peterson spectrum BP<2>, at all primes p\ge7, and show that…
Towards topological Hochschild homology of Johnson-Wilson spectra
Christian Ausoni, Birgit Richter
We offer a complete description of under the assumption that the Johnson-Wilson spectrum at a chosen odd prime carries an -structure. We also place $TH…
Algebraic K-theory of the first Morava K-theory
Christian Ausoni, John Rognes
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology.
Algebraic K-theory of the fraction field of topological K-theory
Christian Ausoni, John Rognes
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology. We use this to compute the homotopy cofiber of a transfer map K…
On the algebraic K-theory of the complex K-theory spectrum
Christian Ausoni
Let p>3 be a prime, let ku be the connective complex K-theory spectrum, and let K(ku) be the algebraic K-theory spectrum of ku. We study the p-primary homotopy type of the spectrum…
Rational algebraic K-theory of topological K-theory
Christian Ausoni, John Rognes
We show that after rationalization there is a homotopy fiber sequence BBU -> K(ku) -> K(Z). We interpret this as a correspondence between the virtual 2-vector bundles over a space…