On Quillen's calculation of graded $K$-theory

Published 31 Mar 2011 in math.KT | (1103.6132v1)

Abstract: We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This in turn allows us to use inductions and calculate graded K-theory of Z^m-graded rings. Here Z is the ring of integers and N positive natural numbers.

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