(1) Computing, Communications Technology and Mathematics, London Metropolitan University, Holloway Road, London, N7 8DB, UK;(2) Pure Mathematics, University of Sheffield, Sheffield, S3 7RH, UK
Abstract:
The elements of various algebras of stable degree zero operations in p-local K-theory can be described explicitly as certain infinite sums of Adams operations [11, 9]. Here we show how to make sense of the same expressions for MU(p) and BP, thus identifying the “Adams subalgebra” of the algebras of operations. We prove that the Adams subalgebra is the centre of the ring of degree zero operations.
