{"title":"论扭曲负 K 理论的消失和同调不变性","authors":"Vivek Sadhu","doi":"arxiv-2409.06228","DOIUrl":null,"url":null,"abstract":"In this article, we revisit Weibel's conjecture for twisted $K$-theory. We\nalso examine the vanishing of twisted negative $K$-groups for Pr\\\"{u}fer\ndomains. Furthermore, we observe that the homotopy invariance of twisted\n$K$-theory holds for (finite-dimensional) Pr\\\"{u}fer domains.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"45 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the vanishing of Twisted negative K-theory and homotopy invariance\",\"authors\":\"Vivek Sadhu\",\"doi\":\"arxiv-2409.06228\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we revisit Weibel's conjecture for twisted $K$-theory. We\\nalso examine the vanishing of twisted negative $K$-groups for Pr\\\\\\\"{u}fer\\ndomains. Furthermore, we observe that the homotopy invariance of twisted\\n$K$-theory holds for (finite-dimensional) Pr\\\\\\\"{u}fer domains.\",\"PeriodicalId\":501143,\"journal\":{\"name\":\"arXiv - MATH - K-Theory and Homology\",\"volume\":\"45 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - K-Theory and Homology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.06228\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06228","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the vanishing of Twisted negative K-theory and homotopy invariance
In this article, we revisit Weibel's conjecture for twisted $K$-theory. We
also examine the vanishing of twisted negative $K$-groups for Pr\"{u}fer
domains. Furthermore, we observe that the homotopy invariance of twisted
$K$-theory holds for (finite-dimensional) Pr\"{u}fer domains.
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