Mathematische Zeitschrift

, Volume 251, Issue 3, pp 475–489 | Cite as

Infinite sums of Adams operations and cobordism

Article

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.

Mathematics Subject Classification (2000)

55S25 55N22 19L41 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Computing, Communications Technology and MathematicsLondon Metropolitan UniversityLondon
  2. 2.Pure MathematicsUniversity of SheffieldSheffield

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