Mathematics – Algebraic Topology
Scientific paper
2008-12-08
Mathematics
Algebraic Topology
13 pages
Scientific paper
The elements of the ring of bidegree (0,0) additive unstable operations in complex K-theory can be described explicitly as certain infinite sums of Adams operations. Here we show how to make sense of the same expressions for complex cobordism MU, thus identifying the "Adams subring" of the corresponding ring of cobordism operations. We prove that the Adams subring is the centre of the ring of bidegree (0,0) additive unstable cobordism operations. For an odd prime p, the analogous result in the p-local split setting is also proved.
Strong M-J
Whitehouse Sarah
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