{"title":"L2-Betti数及其正特征的类似数","authors":"A. Jaikin-Zapirain","doi":"10.1017/9781108692397.015","DOIUrl":null,"url":null,"abstract":"In this article, we give a survey of results on L-Betti numbers and their analogues in positive characteristic. The main emphasis is made on the Lück approximation conjecture and the strong Atiyah conjecture.","PeriodicalId":148530,"journal":{"name":"Groups St Andrews 2017 in Birmingham","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"31","resultStr":"{\"title\":\"L2-Betti Numbers and their Analogues in Positive Characteristic\",\"authors\":\"A. Jaikin-Zapirain\",\"doi\":\"10.1017/9781108692397.015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we give a survey of results on L-Betti numbers and their analogues in positive characteristic. The main emphasis is made on the Lück approximation conjecture and the strong Atiyah conjecture.\",\"PeriodicalId\":148530,\"journal\":{\"name\":\"Groups St Andrews 2017 in Birmingham\",\"volume\":\"56 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"31\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups St Andrews 2017 in Birmingham\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/9781108692397.015\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups St Andrews 2017 in Birmingham","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108692397.015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
L2-Betti Numbers and their Analogues in Positive Characteristic
In this article, we give a survey of results on L-Betti numbers and their analogues in positive characteristic. The main emphasis is made on the Lück approximation conjecture and the strong Atiyah conjecture.