Algebraic $$K\!$$-theory and Grothendieck–Witt theory of monoid schemes
Algebraic $$K\!$$-theory and Grothendieck–Witt theory of monoid schemes
Abstract We study the algebraic $$K\!$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>K</mml:mi> <mml:mspace /> </mml:mrow> </mml:math> -theory and Grothendieck–Witt theory of proto-exact categories of vector bundles over monoid schemes. Our main results are the complete description of the algebraic $$K\!$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>K</mml:mi> <mml:mspace /> </mml:mrow> </mml:math> -theory space of an …