Takuji Kashiwabara - "BP- infinite loop algebras"
Résumé : It is
well known that the mod $p$ homology of an infinite loop spaces has the
structure of a so called AR-allowable Hopf algebra, i.e., a Hopf
algebra on which the Steenrod algebra and the Dyer-Lashof algebra act
satisfying some compatibility conditions. The work of McClure et. al.
(as well as more recent works of Bousfield) gives its mod $p$
$K$-theory counter part. In this talk we discuss its $BP$
cohomology counter part. As a concrete example, we show thata
$BP^*(S^3)$ doesn't admit such a structure.