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Journal of Noncommutative Geometry最新文献

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On some (co)homological invariants of coherent matrix factorizations 相干矩阵分解的一些(co)同调不变量
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-11-30 DOI: 10.4171/jncg/515
Massimo Pippi
{"title":"On some (co)homological invariants of coherent matrix factorizations","authors":"Massimo Pippi","doi":"10.4171/jncg/515","DOIUrl":"https://doi.org/10.4171/jncg/515","url":null,"abstract":"We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the l-adic cohomology of the dg category of coherent matrix factorizations, as well as its Hochschild and periodic cyclic homologies (these last two only in the affine case).","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45364044","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
Perturbations of principal submodules in the Drury–Arveson space Drury-Arveson空间中主子模的微扰
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-11-10 DOI: 10.4171/jncg/469
M. Jabbari, Xiang Tang
{"title":"Perturbations of principal submodules in the Drury–Arveson space","authors":"M. Jabbari, Xiang Tang","doi":"10.4171/jncg/469","DOIUrl":"https://doi.org/10.4171/jncg/469","url":null,"abstract":"We study the geometry in the perturbations of principal submodules in the Drury-Arveson space. We show that the perturbations give rise to smooth vector bundles of Hilbert spaces which are equipped with natural Hermitian connections. We compute the associated parallel transport operators and explore properties of the monodromy.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48341703","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
The index of $G$-transversally elliptic families. II $G$-横椭圆族的指数。2。
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-11-03 DOI: 10.4171/jncg/390
Alexandre Baldare
{"title":"The index of $G$-transversally elliptic families. II","authors":"Alexandre Baldare","doi":"10.4171/jncg/390","DOIUrl":"https://doi.org/10.4171/jncg/390","url":null,"abstract":"We define the Chern character of the index class of a $G$-invariant family of $G$-transversally elliptic operators, see [6]. Next we study the Berline–Vergne formula for families in the elliptic and transversally elliptic case.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":"67 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138524481","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
Symmetries of slice monogenic functions 切片单基因函数的对称性
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-10-21 DOI: 10.4171/jncg/387
F. Colombo, R. S. Kraußhar, I. Sabadini
{"title":"Symmetries of slice monogenic functions","authors":"F. Colombo, R. S. Kraußhar, I. Sabadini","doi":"10.4171/jncg/387","DOIUrl":"https://doi.org/10.4171/jncg/387","url":null,"abstract":"","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":"14 1","pages":"1075-1106"},"PeriodicalIF":0.9,"publicationDate":"2020-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44123228","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: 8
On Runge pairs and topology of axially symmetric domains 关于轴对称域的Runge对和拓扑
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-10-14 DOI: 10.4171/JNCG/409
C. Bisi, J. Winkelmann
{"title":"On Runge pairs and topology of axially symmetric domains","authors":"C. Bisi, J. Winkelmann","doi":"10.4171/JNCG/409","DOIUrl":"https://doi.org/10.4171/JNCG/409","url":null,"abstract":"We prove a Runge theorem for and describe the homology of axially symmetric open subsets of H.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48399061","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: 5
A short proof of the localization formula for the loop space Chern character of spin manifolds 一个关于自旋流形环空间陈氏特征的局部化公式的简短证明
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-10-12 DOI: 10.4171/jncg/464
Matthias Ludewig, Zelin Yi
{"title":"A short proof of the localization formula for the loop space Chern character of spin manifolds","authors":"Matthias Ludewig, Zelin Yi","doi":"10.4171/jncg/464","DOIUrl":"https://doi.org/10.4171/jncg/464","url":null,"abstract":"In this note, we give a short proof of the localization formula for the loop space Chern character of a compact Riemannian spin manifold M, using the rescaled spinor bundle on the tangent groupoid associated to M.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46307521","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
On anchored Lie algebras and the Connes–Moscovici bialgebroid construction 关于锚定李代数和Connes–Moscovici双代数构造
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-09-30 DOI: 10.4171/JNCG/475
P. Saracco
{"title":"On anchored Lie algebras and the Connes–Moscovici bialgebroid construction","authors":"P. Saracco","doi":"10.4171/JNCG/475","DOIUrl":"https://doi.org/10.4171/JNCG/475","url":null,"abstract":"We show how the Connes-Moscovici's bialgebroid construction naturally provides universal objects for Lie algebras acting on non-commutative algebras.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49515172","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: 5
An equivariant Poincaré duality for proper cocompact actions by matrix groups 矩阵群适当共紧作用的等变Poincaré对偶
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-09-29 DOI: 10.4171/jncg/468
Haoyang Guo, V. Mathai
{"title":"An equivariant Poincaré duality for proper cocompact actions by matrix groups","authors":"Haoyang Guo, V. Mathai","doi":"10.4171/jncg/468","DOIUrl":"https://doi.org/10.4171/jncg/468","url":null,"abstract":"Let $G$ be a linear Lie group acting properly and isometrically on a $G$-spin$^c$ manifold $M$ with compact quotient. We show that Poincare duality holds between $G$-equivariant $K$-theory of $M$, defined using finite-dimensional $G$-vector bundles, and $G$-equivariant $K$-homology of $M$, defined through the geometric model of Baum and Douglas.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45594666","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: 1
On the lifting property for $C^*$-algebras 关于$C^*$-代数的提升性质
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-09-27 DOI: 10.4171/jncg/473
G. Pisier
{"title":"On the lifting property for $C^*$-algebras","authors":"G. Pisier","doi":"10.4171/jncg/473","DOIUrl":"https://doi.org/10.4171/jncg/473","url":null,"abstract":"We characterize the lifting property (LP) of a separable $C^*$-algebra $A$ by a property of its maximal tensor product with other $C^*$-algebras, namely we prove that $A$ has the LP if and only if for any family $({D_imid iin I}$ of $C^*$-algebras the canonical map $$ {ell_infty({D_i}) otimes_{max} A}to {ell_infty({D_i otimes_{max} A}) }$$ is isometric. Equivalently, this holds if and only if $M otimes_{max} A= M otimes_{rm nor} A$ for any von Neumann algebra $M$.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48950866","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
The Arens-Michael envelopes of the Jordan plane and $U_q(mathfrak{sl}(2))$ Jordan平面的Arens-Michael包络和$U_q（mathfrak｛sl｝（2））$
IF 0.9 2区 数学
Journal of Noncommutative Geometry Pub Date : 2020-09-14 DOI: 10.4171/jncg/461
Dmitrii Pedchenko
{"title":"The Arens-Michael envelopes of the Jordan plane and $U_q(mathfrak{sl}(2))$","authors":"Dmitrii Pedchenko","doi":"10.4171/jncg/461","DOIUrl":"https://doi.org/10.4171/jncg/461","url":null,"abstract":"The Arens-Michael functor in noncommutative geometry is an analogue of the analytification functor in algebraic geometry: out of the ring of \"algebraic functions\" on a noncommutative space it constructs the ring of \"holomorphic functions\" on it. In this paper, we explicitly compute the Arens-Michael envelopes of the Jordanian plane and the quantum enveloping algebra $U_q(mathfrak{sl}(2))$ of $mathfrak{sl}(2)$ for $|q|=1$.","PeriodicalId":54780,"journal":{"name":"Journal of Noncommutative Geometry","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2020-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44687193","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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