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Journal of Noncommutative Geometry最新文献

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Homomorphisms into simple $mathcal{Z}$-stable $C^*$-algebras, II 到简单$mathcal｛Z｝$-稳定$C^*$-代数的同态，II
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2023-07-14 DOI: 10.4171/jncg/490
Huaxin Lin, G. Gong, Z. Niu
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引用次数: 0
Symmetries of simple $Amathbb{T}$-algebras 简单$Amathbb｛T｝$代数的对称性
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2023-05-06 DOI: 10.4171/jncg/492
Yuanhang Zhang
{"title":"Symmetries of simple $Amathbb{T}$-algebras","authors":"Yuanhang Zhang","doi":"10.4171/jncg/492","DOIUrl":"https://doi.org/10.4171/jncg/492","url":null,"abstract":"","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47904038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HPD-invariance of the Tate conjecture(s) Tate猜想的hpd不变性
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2023-02-07 DOI: 10.4171/jncg/462
Gonçalo Tabuada
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引用次数: 0
Homotopy Rota–Baxter operators and post-Lie algebras 同伦Rota-Baxter算子与后李代数
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2023-02-07 DOI: 10.4171/jncg/466
Rong Tang, C. Bai, Li Guo, Y. Sheng
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引用次数: 3
On the Hochschild homology of proper Lie groupoids 关于真李群胚的Hochschild同调性
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2023-01-26 DOI: 10.4171/jncg/467
M. Pflaum, H. Posthuma, Xiang Tang
{"title":"On the Hochschild homology of proper Lie groupoids","authors":"M. Pflaum, H. Posthuma, Xiang Tang","doi":"10.4171/jncg/467","DOIUrl":"https://doi.org/10.4171/jncg/467","url":null,"abstract":"","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49489446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Purely infinite corona algebras and extensions 纯无限电晕代数及其扩张
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2022-12-29 DOI: 10.4171/jncg/483
P. W. Ng
{"title":"Purely infinite corona algebras and extensions","authors":"P. W. Ng","doi":"10.4171/jncg/483","DOIUrl":"https://doi.org/10.4171/jncg/483","url":null,"abstract":"","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46281832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cyclic cocycles in the spectral action 谱作用中的循环共环
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2021-12-21 DOI: 10.4171/jncg/500
Teun D. H. van Nuland, Walter D. van Suijlekom
{"title":"Cyclic cocycles in the spectral action","authors":"Teun D. H. van Nuland, Walter D. van Suijlekom","doi":"10.4171/jncg/500","DOIUrl":"https://doi.org/10.4171/jncg/500","url":null,"abstract":"","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47990783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An analog of the Krein–Milman theorem for certain non-compact convex sets 某些非紧凸集的Krein–Milman定理的类似
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2021-11-22 DOI: 10.4171/jncg/431
G. Elliott, Zhiqiang Li, Xia Zhao
{"title":"An analog of the Krein–Milman theorem for certain non-compact convex sets","authors":"G. Elliott, Zhiqiang Li, Xia Zhao","doi":"10.4171/jncg/431","DOIUrl":"https://doi.org/10.4171/jncg/431","url":null,"abstract":"","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47841303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type （超）模和未识别型的有限GK维前Nichols代数
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2021-10-21 DOI: 10.4171/jncg/497
I. Angiono, E. Campagnolo, Guillermo Sanmarco
{"title":"Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type","authors":"I. Angiono, E. Campagnolo, Guillermo Sanmarco","doi":"10.4171/jncg/497","DOIUrl":"https://doi.org/10.4171/jncg/497","url":null,"abstract":"We show that every finite GK-dimensional pre-Nichols algebra for braidings of diagonal type with connected diagram of modular, supermodular or unidentified type is a quotient of the distinguished pre-Nichols algebra introduced by the first-named author, up to two exceptions. For both of these exceptional cases, we provide a pre-Nichols algebra that substitutes the distinguished one in the sense that it projects onto all finite GK-dimensional pre-Nichols algebras. We build these two substitutes as non-trivial central extensions with finite GK-dimension of the corresponding distinguished pre-Nichols algebra. We describe these algebras by generators and relations, and provide a basis. This work essentially completes the study of eminent pre-Nichols algebras of diagonal type with connected diagram and finite-dimensional Nichols algebra.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47451339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Slice regular functions and orthogonal complex structures over $mathbb{R}^8$ $mathbb｛R｝^8上的切片正则函数和正交复结构$
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2021-09-27 DOI: 10.4171/jncg/452
R. Ghiloni, A. Perotti, C. Stoppato
{"title":"Slice regular functions and orthogonal complex structures over $mathbb{R}^8$","authors":"R. Ghiloni, A. Perotti, C. Stoppato","doi":"10.4171/jncg/452","DOIUrl":"https://doi.org/10.4171/jncg/452","url":null,"abstract":"This work looks at the theory of octonionic slice regular functions through the lens of differential topology. It proves a full-fledged version of the Open Mapping Theorem for octonionic slice regular functions. Moreover, it opens the path for a possible use of slice regular functions in the study of almost-complex structures in eight dimensions. Acknowledgements. This work was partly supported by GNSAGA of INdAM, by the INdAM project “Hypercomplex function theory and applications” and by the PRIN 2017 project “Real and Complex Manifolds” of the Italian Ministry of Education (MIUR). The third author is also supported by Finanzi-amento Premiale FOE 2014 “Splines for accUrate NumeRics: adaptIve models for Simulation Environ-ments” of MIUR. The authors are grateful to the anonymous referee for the precious suggestions.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48763948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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