In this note we prove some structural properties of all the A1-homotopy invariants of corner skew Laurent polynomial algebras. As an application, we compute the mod-l algebraic K-theory of Leavitt path algebras using solely the kernel/cokernel of the incidence matrix. This leads naturally to some vanishing and divisibility properties of the K-theory of these algebras.
- Algebraic k-theory
- Corner skew laurent polynomial algebra
- Leavitt path algebra
- Noncommutative algebraic geometry
- Noncommutative mixed motives