In this work we show how to use the Karoubi's fundamental theorem of Hermitian K-theory  to prove some results in L-Theory using these same results in algebraic K-Theory.
"Some Applications of the Fundamental Theorem of Hermitian K-Theory." Missouri J. Math. Sci. 23 (1) 48 - 64, February 2011. https://doi.org/10.35834/mjms/1312233182