47 citations · 72 across the 13 of their papers we have counts for
13 papers
Locally Frobenius algebras and Hopf algebras
Andrew Baker
We develop a theory of \emph{locally Frobenius algebras} which are colimits of certain directed systems of Frobenius algebras. A major goal is to obtain analogues of the work of Mo…
On -algebras and their duals
Andrew Baker
The notion of -algebra due to Margolis, building on work of Moore and Peterson, was motivated by the case of the Steenrod algebra at a prime and its modules. We develop aspects…
On the dual of a -algebra and its comodules, with applications to comparison of some Bousfield classes
Andrew Baker
In his seminal work on localisation of spectra, Ravenel initiated the study of Bousfield classes of spectra related to the chromatic perspective. In particular he showed that there…
Power operations in -theory completed at a prime
Andrew Baker
We describe the action of power operations on the -completed cooperation algebras $K^\vee_0 K = K_0(K)\sphat_p$ for -theory at a prime~, and $K^\vee_0 KO = K_0(KO)\sphat_2…
Characteristics for ring spectra
Andrew Baker
We introduce a notion of characteristic for connective -local ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik,…
localized away from and odd formal group laws
Andrew Baker, Jack Morava
We investigate the relationship between complex and symplectic cobordism localized away from the prime~ and show that these theories are related much as a real Lie group is rela…