{"title":"有限循环群半直积的c * -代数","authors":"Takahiro Sudo","doi":"10.2206/kyushujm.74.223","DOIUrl":null,"url":null,"abstract":"We study some finite discrete groups such as semi-direct products of finite cyclic groups by their automorphisms, the corresponding group and subgroup C-algebras, and their K-theory. Consequently, we obtain several isomorphism classification theorems of such groups by their group C-algebras and K-theory.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"THE C* -ALGEBRAS OF SEMI-DIRECT PRODUCTS OF FINITE CYCLIC GROUPS BY K-THEORY\",\"authors\":\"Takahiro Sudo\",\"doi\":\"10.2206/kyushujm.74.223\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study some finite discrete groups such as semi-direct products of finite cyclic groups by their automorphisms, the corresponding group and subgroup C-algebras, and their K-theory. Consequently, we obtain several isomorphism classification theorems of such groups by their group C-algebras and K-theory.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2206/kyushujm.74.223\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2206/kyushujm.74.223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
THE C* -ALGEBRAS OF SEMI-DIRECT PRODUCTS OF FINITE CYCLIC GROUPS BY K-THEORY
We study some finite discrete groups such as semi-direct products of finite cyclic groups by their automorphisms, the corresponding group and subgroup C-algebras, and their K-theory. Consequently, we obtain several isomorphism classification theorems of such groups by their group C-algebras and K-theory.
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