{"title":"C的严格全局维数的可加性公式(Ω)","authors":"S. B. Tabaldyev","doi":"10.2478/s11533-013-0350-5","DOIUrl":null,"url":null,"abstract":"Let A be a unital strict Banach algebra, and let K+ be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K+), the algebra of continuous functions on K+. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"7 1","pages":"470-475"},"PeriodicalIF":0.0000,"publicationDate":"2014-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An additivity formula for the strict global dimension of C(Ω)\",\"authors\":\"S. B. Tabaldyev\",\"doi\":\"10.2478/s11533-013-0350-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let A be a unital strict Banach algebra, and let K+ be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K+), the algebra of continuous functions on K+. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"7 1\",\"pages\":\"470-475\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-013-0350-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0350-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An additivity formula for the strict global dimension of C(Ω)
Let A be a unital strict Banach algebra, and let K+ be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K+), the algebra of continuous functions on K+. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .
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