2012/04/13 by Imma Gálvez-Carrillo, Imma Galvez-Carrillo, Galvez-Carrillo, Imma +2
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:19L41 #msc:55N22 #msc:55S25
paper · pdf · doi:10.48550/arxiv.1204.3025
13 pages
arxiv created 2012/04/13 · arxiv updated 2012/04/16
For stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP operations is the corresponding ring for the Adams summand of p-local connective complex K-theory. Here we show that, in the additive unstable context, this result holds with BP replaced by BP<n> for any n. Thus, for all chromatic heights, the only central operations are those coming from K-theory.