A note on the graded K-theory of certain graded rings
Thomas Huettemann
TL;DR
This paper demonstrates that the graded K-theory of certain Z^n-graded rings can be fully derived from the K-theory of their degree-zero subring, extending Quillen's ideas.
Contribution
It establishes a link between the graded K-theory of specific rings and the K-theory of their degree-zero subring, providing a new perspective on graded ring K-theory.
Findings
Graded K-theory is determined by the degree-zero subring.
Support contained in a pointed cone is crucial for the result.
Extends Quillen's ideas to a broader class of graded rings.
Abstract
Following ideas of Quillen it is shown that the graded K-theory of a Z^n-graded ring with support contained in a pointed cone is entirely determined by the K-theory of the subring of degree-0 elements.
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