The Higson–Roe sequence for étale groupoids. II. The universal sequence for equivariant families

M. Benameur, Indrava Roy
{"title":"The Higson–Roe sequence for étale groupoids. II. The universal sequence for equivariant families","authors":"M. Benameur, Indrava Roy","doi":"10.4171/JNCG/394","DOIUrl":null,"url":null,"abstract":"This is the second part of our series about the Higson-Roe sequence for etale groupoids. We devote this part to the proof of the universal $K$-theory surgery exact sequence which extends the seminal results of N. Higson and J. Roe to the case of transformation groupoids. In the process, we prove the expected functoriality properties as well as the Paschke-Higson duality theorem.","PeriodicalId":309711,"journal":{"name":"arXiv: K-Theory and Homology","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/JNCG/394","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5

Abstract

This is the second part of our series about the Higson-Roe sequence for etale groupoids. We devote this part to the proof of the universal $K$-theory surgery exact sequence which extends the seminal results of N. Higson and J. Roe to the case of transformation groupoids. In the process, we prove the expected functoriality properties as well as the Paschke-Higson duality theorem.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
杂群的Higson-Roe序列。2等变族的普遍序列
这是我们关于etale群类群的Higson-Roe序列系列的第二部分。这一部分我们致力于证明普遍的K理论手术精确序列,它将N. Higson和J. Roe的开创性成果推广到变换群的情况。在此过程中,我们证明了期望函数性和Paschke-Higson对偶定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces An identification of the Baum-Connes and Davis-L\"uck assembly maps Algebraic K-theory of quasi-smooth blow-ups and cdh descent Note on linear relations in Galois cohomology and étale K-theory of curves Weibel’s conjecture for twisted K-theory
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1