The density theorem for hermitian K-theory

Authors: MOHAMED ELAMINE TALBI

Abstract: Karoubi's density theorem was first proved in Benayat's thesis and then cited and used in several books and articles. As K-theory is a special case of hermitian $_{\varepsilon }L$-theory, a natural question is whether such a theorem is still true in the latter theory. The purpose of this article is to show that it is indeed the case.

Keywords: Hermitian algebra, sesquilinear form, hyperbolic form, spectrum, polar form, K-theory

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