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On the cooperation algebra of the connective Adams summand
Andrew Baker, Birgit Richter
The aim of this paper is to gain explicit information about the multiplicative structure of l_*l, where l is the connective Adams summand. Our approach differs from Kane's or Lellm…
Uniqueness of structures for connective covers
Andrew Baker, Birgit Richter
We refine our earlier work on the existence and uniqueness of E-infinity structures on K-theoretic spectra to show that at each prime p, the connective Adams summand has an essenti…
Realizability of algebraic Galois extensions by strictly commutative ring spectra
Andrew Baker, Birgit Richter
We discuss some of the basic ideas of Galois theory for commutative S-algebras originally formulated by John Rognes. We restrict attention to the case of finite Galois groups and t…
Invertible modules for commutative -algebras with residue fields
Andrew Baker, Birgit Richter
The aim of this note is to understand under which conditions invertible modules over a commutative S-algebra in the sense of Elmendorf, Kriz, Mandell and May give rise to elements…
-cohomology of rings of numerical polynomials and structures on K-theory
Andrew Baker, Birgit Richter
We investigate Gamma-cohomology of some commutative cooperation algebras E_*E associated with certain periodic cohomology theories. For KU and E(1), the Adams summand at a prime p,…