{"title":"$\\mathcal A_\\theta^{alg} \\ r_乘以\\mathbb Z_2$的上同调及其chen - connes对","authors":"Safdar Quddus","doi":"10.4171/JNCG/11-3-2","DOIUrl":null,"url":null,"abstract":"We calculate the Hochschild and cyclic cohomology of the $\\mathbb Z_2$ toroidal orbifold $\\mathcal A_\\theta^{alg} \\rtimes \\mathbb Z_2$. We also calculate the Chern-Connes pairing of the even cyclic cohomology group with the known elements of $K_0(\\mathcal A_\\theta^{alg} \\rtimes \\mathbb Z_2)$.","PeriodicalId":309711,"journal":{"name":"arXiv: K-Theory and Homology","volume":"115 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Cohomology of $\\\\mathcal A_\\\\theta^{alg} \\\\rtimes \\\\mathbb Z_2$ and its Chern-Connes pairing\",\"authors\":\"Safdar Quddus\",\"doi\":\"10.4171/JNCG/11-3-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We calculate the Hochschild and cyclic cohomology of the $\\\\mathbb Z_2$ toroidal orbifold $\\\\mathcal A_\\\\theta^{alg} \\\\rtimes \\\\mathbb Z_2$. We also calculate the Chern-Connes pairing of the even cyclic cohomology group with the known elements of $K_0(\\\\mathcal A_\\\\theta^{alg} \\\\rtimes \\\\mathbb Z_2)$.\",\"PeriodicalId\":309711,\"journal\":{\"name\":\"arXiv: K-Theory and Homology\",\"volume\":\"115 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-03-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: K-Theory and Homology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4171/JNCG/11-3-2\",\"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: K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/JNCG/11-3-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cohomology of $\mathcal A_\theta^{alg} \rtimes \mathbb Z_2$ and its Chern-Connes pairing
We calculate the Hochschild and cyclic cohomology of the $\mathbb Z_2$ toroidal orbifold $\mathcal A_\theta^{alg} \rtimes \mathbb Z_2$. We also calculate the Chern-Connes pairing of the even cyclic cohomology group with the known elements of $K_0(\mathcal A_\theta^{alg} \rtimes \mathbb Z_2)$.
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