A1-homotopy invariants of corner skew Laurent polynomial algebras

Gonçalo Tabuada

doi:10.4171/JNCG/11-4-12

A1-homotopy invariants of corner skew Laurent polynomial algebras

Gonçalo Tabuada

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	1627-1643
Number of pages	17
Journal	Journal Of Noncommutative Geometry
Volume	11
Issue number	4
DOIs	https://doi.org/10.4171/JNCG/11-4-12
Publication status	Published - 1 Jan 2017

Keywords

Algebraic k-theory
Corner skew laurent polynomial algebra
Leavitt path algebra
Noncommutative algebraic geometry
Noncommutative mixed motives

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10.4171/JNCG/11-4-12

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KW - Noncommutative mixed motives

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A1-homotopy invariants of corner skew Laurent polynomial algebras

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Keywords

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