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Tagged with adams-operations homotopy-theory
3 questions
14
votes
2
answers
555
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Are the real and complex Adams operations compatible under the inclusions $U(n) \rightarrow SO(2n)$?
Does the following diagram commute?
$$
\require{AMScd}
\begin{CD}
BU @>{\psi^k}>> BU \\
@VVV @VVV \\
BO @>{\psi^k}>> BO
\end{CD}
$$
Evidence for: $rc = 2$, it works for $BU(1) \...
6
votes
0
answers
220
views
Adams operation on Q-construction of fields
Let $F$ be a field that we want to compute its rational algebraic $K$-theory using the Quillen's $Q$-construction. Let $QF$ be the $Q$ construction of the category of finite dimensional vector spaces ...
3
votes
0
answers
127
views
Adams operation on the rational homology
The Adams operation acts on the algebraic $K$-theory of $R$ but the action as far as I know doesn't come from a endo-functor on the category of projective modules over $R$. For the $K_0$ there is an ...