{"title":"等变kk理论中的约束映射","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":"{\"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}","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
摘要
我们将等变k理论中关于限制映射的McClure的结果推广到二变k理论:设G是紧李群，a和B是G- c *代数。设KKHn (A, B)是一个有限生成的R(G)-模，对于每一个H≤G闭且n∈n。则对于所有F≤G有限循环，若KKF*(A, B) = 0，则KKG*(A, B) = 0。
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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