Abstract
Title: BP infinite loop algebras
Author Takuji Kashiwabara
e-mail Takuji.Kashiwabara@mozart.ujf-grenoble.fr
MSC Primary 55N22, 55P47, 55S10, 55S12, 55S25, Secondary 55R40, 55R45
In this paper we define the notion of BP infinite loop algebras, a sort
of BP -analogue of A- R-allowable Hopf algebras, and show that under
some conditions, BP -cohomology of infinite loop spaces has such a
structure. Furthermore we show that the BP infinite loop algebra
structure gives a serious restriction on underlying unstable BP -algebra
structure.
Key words: Brown-Peterson cohomology, Infinite loop spaces,
Generalized cohomology operations, Unstable Algebras, Dyer-Lashof
operations, Nishida relations, Landweber-Novikov algebra, Steenrod
algebra, Hopf ring