Induction theorems for equivariant K-theory and J-theory
type: Item
instance of: scholarly article
title: Induction theorems for equivariant K-theory and J-theory
zbMATH Open document ID: 0596.18007
author: Katsuo Kawakubo
published in: Journal of the Mathematical Society of Japan
publication date: 1986-01-01T00:00:00Z
review text: Suppose \(G\) is a group and \(\Lambda\) is a \(G\)-ring, i.e., a ring \(\Lambda\) together with a \(G\)-action on \(\Lambda\) preserving the ring structure. The author introduces notions of a family \(F\) of \(\Lambda\) \(G\)-modules and of \(F\)- projective modules. For each family F, he defines two kinds of equivariant algebraic K-theories \(K^ G(\Lambda,F)_ d\) and \(K^ G(\Lambda,F)_ e\). The approach of this paper is along the line of the classical algebraic K-theory for the purpose of geometric applications. The aim of this paper is to establish the induction theorem for the equivariant algebraic and topological K-theories of this paper and for equivariant J-theory as promised in the author's other paper [Proc. Japan Acad., Ser. A 60, 66-69 (1984; Zbl 0597.20039)].
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 55N25
Mathematics Subject Classification ID: 18F30
zbMATH DE Number: 3959734
zbMATH Keywords: Grothendieck group
zbMATH Keywords: equivariant algebraic K-theories
zbMATH Keywords: induction theorem
zbMATH Keywords: topological K-theories
zbMATH Keywords: equivariant J-theory
reviewed by: Tong Wenting
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03820173
OpenAlex ID: W1992266399
DOI: 10.2969/JMSJ/03820173
description: scientific article; zbMATH DE number 3959734