Adams operations on higher \(K\)-theory. (English) Zbl 0776.19001

Let \(\mathcal P\) be an exact category with suitable notions of tensor product, symmetric product and exterior product. The author constructs combinatorial maps inducing the Adams operations in the higher algebraic \(K\)-theory of \(\mathcal P\). These maps are one-fold deloopings of the maps which can be constructed by using lambda operations.


19D23 Symmetric monoidal categories
19L10 Riemann-Roch theorems, Chern characters


Zbl 0701.18007
Full Text: DOI


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