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From algebraic K-theory to hermitian K-theory

Max Karoubi
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Abstract

We introduce a new morphism between algebraic and hermitian K-theory. The topological analog is the Adams operation in real K-theory. From this morphism, we deduce a lower bound for the higher algebraic K-theory of a ring A in terms of the classical Witt group of the ring A tensored by its opposite ring.

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Max Karoubi. 2005-09-26. From algebraic K-theory to hermitian K-theory. https://arxiv.org/abs/math/0509594

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