On the 𝐾-theory of Laurent polynomials
On the 𝐾-theory of Laurent polynomials
The Karoubi-Villamayor <italic>K</italic>-theory of the ring of Laurent polynomials over a regular ring is computed. It is shown that Milnor’s <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper K 2"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>K</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{K_2}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a ring of Laurent polynomials over a regular ring …