{"title":"Restriction maps in equivariant KK-theory","authors":"Otgonbayar Uuye","doi":"10.1017/is011010005jkt168","DOIUrl":null,"url":null,"abstract":"We extend McClure's results regarding restriction maps in equivariant K-theory to bivariant K-theory: \nLet G be a compact Lie group and A and B be G-C*-algebras. Suppose that KKHn (A, B) is a finitely generated R(G)-module for every H ≤ G closed and n ∈ ℤ. Then, if KKF*(A, B) = 0 for all F ≤ G finite cyclic, then KKG*(A, B) = 0.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"9 1","pages":"45-55"},"PeriodicalIF":0.0000,"publicationDate":"2011-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is011010005jkt168","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/is011010005jkt168","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We extend McClure's results regarding restriction maps in equivariant K-theory to bivariant K-theory:
Let G be a compact Lie group and A and B be G-C*-algebras. Suppose that KKHn (A, B) is a finitely generated R(G)-module for every H ≤ G closed and n ∈ ℤ. Then, if KKF*(A, B) = 0 for all F ≤ G finite cyclic, then KKG*(A, B) = 0.
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