{"title":"双模预测和条件期望的范围","authors":"R. Pluta","doi":"10.33232/bims.0069.9","DOIUrl":null,"url":null,"abstract":"This is an abstract of the PhD thesis Ranges of Bimodule Projections and Conditional Expectations written by R. Pluta under the supervision of Prof. Richard M. Timoney at the School of Mathematics, Trinity College Dublin and submitted in September 2011. The algebraic theory of corner rings introduced by Lam [1] (as an abstraction of the properties of Peirce corners eRe of a ring R associated with an idempotent e ∈ R) is investigated in the context of C∗-algebras and operator algebras. The main result is as follows.","PeriodicalId":103198,"journal":{"name":"Irish Mathematical Society Bulletin","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Ranges of bimodule projections and conditional expectations\",\"authors\":\"R. Pluta\",\"doi\":\"10.33232/bims.0069.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is an abstract of the PhD thesis Ranges of Bimodule Projections and Conditional Expectations written by R. Pluta under the supervision of Prof. Richard M. Timoney at the School of Mathematics, Trinity College Dublin and submitted in September 2011. The algebraic theory of corner rings introduced by Lam [1] (as an abstraction of the properties of Peirce corners eRe of a ring R associated with an idempotent e ∈ R) is investigated in the context of C∗-algebras and operator algebras. The main result is as follows.\",\"PeriodicalId\":103198,\"journal\":{\"name\":\"Irish Mathematical Society Bulletin\",\"volume\":\"50 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Irish Mathematical Society Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33232/bims.0069.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Irish Mathematical Society Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33232/bims.0069.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
摘要
这是dr . Pluta在都柏林三一学院数学学院Richard M. Timoney教授指导下于2011年9月提交的博士论文《双模投影和条件期望的范围》的摘要。在C * -代数和算子代数的背景下,研究了由Lam[1]引入的角环的代数理论(作为与幂等e∈R相关的环R的Peirce角eRe的性质的抽象)。主要结果如下。
Ranges of bimodule projections and conditional expectations
This is an abstract of the PhD thesis Ranges of Bimodule Projections and Conditional Expectations written by R. Pluta under the supervision of Prof. Richard M. Timoney at the School of Mathematics, Trinity College Dublin and submitted in September 2011. The algebraic theory of corner rings introduced by Lam [1] (as an abstraction of the properties of Peirce corners eRe of a ring R associated with an idempotent e ∈ R) is investigated in the context of C∗-algebras and operator algebras. The main result is as follows.