Infinite Sums of Additive Unstable Adams Operations and Cobordism
نویسنده
چکیده
The elements of the ring of bidegree (0, 0) additive unstable operations in complexK-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.
منابع مشابه
Infinite Sums of Adams Operations and Cobordism
In recent work, various algebras of stable degree zero operations in p-local K-theory were described explicitly [5]. The elements are certain infinite sums of Adams operations. 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...
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