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GALOIS EXTENSIONS OF STRUCTURED RING SPECTRA

- J. Rognes
- Mathematics
- 9 February 2005

We introduce the notion of a Galois extension of commutative S-algebras (E1 ring spectra), often localized with respect to a flxed homology theory. There are numerous examples, including some… Expand

Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups

- J. Rognes
- Mathematics
- 15 February 2008

Galois Extensions of Structured Ring Spectra: Abstract Introduction Galois extensions in algebra Closed categories of structured module spectra Galois extensions in topology Examples of Galois… Expand

A systematic review of triage-related interventions to improve patient flow in emergency departments

- S. Oredsson, H. Jonsson, +6 authors Nasim Farrohknia
- MedicineScandinavian journal of trauma, resuscitation and…
- 19 July 2011

TLDR

TWO-PRIMARY ALGEBRAIC K-THEORY OF RINGS OF INTEGERS IN NUMBER FIELDS

- J. Rognes, C. Weibel, appendix by M. Kolster
- Mathematics
- 23 August 1999

We relate the algebraic K-theory of a totally real number field F to its étale cohomology. We also relate it to the zeta-function of F when F is Abelian. This establishes the two-primary part of the… Expand

Algebraic K-theory of topological K-theory

- Christian Ausoni, J. Rognes
- Mathematics
- 1 March 2002

We are interested in the arithmetic of ring spectra. To make sense of this we must work with structured ring spectra, such as S-algebras [EKMM], symmetric ring spectra [HSS] or Γ-rings [Ly]. We will… Expand

Hopf algebra structure on topological Hochschild homology

- V. Angeltveit, J. Rognes
- Mathematics
- 9 February 2005

The topological Hochschild homology THH(R) of a commu- tative S-algebra (E1 ring spectrum) R naturally has the structure of a commutative R-algebra in the strict sense, and of a Hopf algebra over R… Expand

Topological logarithmic structures

- J. Rognes
- Mathematics
- 4 July 2009

A logarithmic structure on a commutative ring A is a commutative monoid M with a homomorphism to the underlying multiplicative monoid of A. This determines a localization AŒM of A. In… Expand

Topology, Geometry and Quantum Field Theory: Two-vector bundles and forms of elliptic cohomology

In this paper we define 2-vector bundles as suitable bundles of 2-vector spaces over a base space, and compare the resulting 2-K-theory with the algebraic K-theory spectrum K(V) of the 2-category of… Expand

Topological cyclic homology of the integers at two

- J. Rognes
- Mathematics
- 25 January 1999

The topological Hochschild homology of the integers T(Z) = THH(Z) is an S1-equivariant spectrum. We prove by computation that for the restricted C2-action on T(Z) the fixed points and homotopy fixed… Expand

Stable bundles over rig categories

- N. Baas, B. Dundas, Birgit Richter, J. Rognes
- Mathematics
- 9 September 2009

The point of this paper is to prove the conjecture that virtual 2-vector bundles are classified by K(ku), the algebraic K-theory of topological K-theory. Hence, by the work of Ausoni and the fourth… Expand

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