On Quillen's calculation of graded K-theory

Roozbeh Hazrat; Thomas Hüttemann

doi:10.1007/s40062-012-0020-5

On Quillen's calculation of graded K-theory

Roozbeh Hazrat
, Thomas Hüttemann

School of Computer, Data & Mathematical Sciences

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

3 Citations (Scopus)

Abstract

We adapt Quillen's calculation of graded K-groups of â„¤-graded rings with support in N to graded K-theory, allowing gradings in a product â„¤ xÃ‚Â—G with G an arbitrary group. This in turn allows us to use induction and calculate graded K-theory of â„¤m-graded rings.

Original language	English
Pages (from-to)	231-238
Number of pages	8
Journal	Journal of Homotopy and Related Structures
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/s40062-012-0020-5
Publication status	Published - 2013

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10.1007/s40062-012-0020-5

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title = "On Quillen's calculation of graded K-theory",

abstract = "We adapt Quillen's calculation of graded K-groups of {\^a}„¤-graded rings with support in N to graded K-theory, allowing gradings in a product {\^a}„¤ x{\~A}‚{\^A}—G with G an arbitrary group. This in turn allows us to use induction and calculate graded K-theory of {\^a}„¤m-graded rings.",

author = "Roozbeh Hazrat and Thomas H{\"u}ttemann",

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AB - We adapt Quillen's calculation of graded K-groups of â„¤-graded rings with support in N to graded K-theory, allowing gradings in a product â„¤ xÃ‚Â—G with G an arbitrary group. This in turn allows us to use induction and calculate graded K-theory of â„¤m-graded rings.

UR - http://handle.uws.edu.au:8081/1959.7/533876

U2 - 10.1007/s40062-012-0020-5

DO - 10.1007/s40062-012-0020-5

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JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

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ER -

On Quillen's calculation of graded K-theory

Abstract

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