Advances in Mathematics最新文献_第2页

Persistence of Rademacher-type and Sobolev-to-Lipschitz properties Rademacher-type和Sobolev-to-Lipschitz性质的持久性

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-23 DOI: 10.1016/j.aim.2025.110542

Lorenzo Dello Schiavo , Kohei Suzuki

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Rigidity of analytic and smooth bi-cubic multicritical circle maps with bounded type rotation numbers 具有有界旋转数的解析光滑双三次多临界圆映射的刚性

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-23 DOI: 10.1016/j.aim.2025.110541

Igors Gorbovickis , Michael Yampolsky

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Eigenvalues of supersymmetric Shimura operators and interpolation polynomials 超对称Shimura算子的特征值与插值多项式

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-23 DOI: 10.1016/j.aim.2025.110547

Siddhartha Sahi , Songhao Zhu

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Stationary completeness: The N-body short-range case 平稳完备性：n体短程情形

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-22 DOI: 10.1016/j.aim.2025.110544

E. Skibsted

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The weakly nonlinear Schrödinger equation in higher dimensions with quasi-periodic initial data 具有拟周期初始数据的高维弱非线性Schrödinger方程

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-22 DOI: 10.1016/j.aim.2025.110539

Fei Xu

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A sharp localized weighted inequality related to Gagliardo and Sobolev seminorms and its applications 关于Gagliardo和Sobolev半精的尖锐局域加权不等式及其应用

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-19 DOI: 10.1016/j.aim.2025.110537

Pingxu Hu, Yinqin Li, Dachun Yang, Wen Yuan

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Integrality of mirror maps and arithmetic homological mirror symmetry for Greene–Plesser mirrors green - plesser反射镜镜像映射的完整性及算术同调镜像对称性

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-19 DOI: 10.1016/j.aim.2025.110535

Sheel Ganatra, Andrew Hanlon, Jeff Hicks, Daniel Pomerleano, Nick Sheridan

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An almost Kurepa Suslin tree with strongly non-saturated square 具有强不饱和方的几乎Kurepa Suslin树

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-18 DOI: 10.1016/j.aim.2025.110540

John Krueger, Eduardo Martinez Mendoza

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引用次数: 0

A non-Archimedean theory of complex spaces and the cscK problem 复空间的非阿基米德理论与cscK问题

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-18 DOI: 10.1016/j.aim.2025.110543

Pietro Mesquita-Piccione

引用次数: 0

Intermediate subalgebras of Cartan embeddings in rings and C*-algebras 环上Cartan嵌入的中间子代数与C*-代数

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-17 DOI: 10.1016/j.aim.2025.110534

Jonathan H. Brown , Lisa Orloff Clark , Adam H. Fuller

{"title":"Intermediate subalgebras of Cartan embeddings in rings and C*-algebras","authors":"Jonathan H. Brown , Lisa Orloff Clark , Adam H. Fuller","doi":"10.1016/j.aim.2025.110534","DOIUrl":"10.1016/j.aim.2025.110534","url":null,"abstract":"<div><div>Let <math><mi>D</mi><mo>⊆</mo><mi>A</mi></math> be a quasi-Cartan pair of algebras. Then there exists a unique discrete groupoid twist <math><mi>Σ</mi><mo>→</mo><mi>G</mi></math> whose twisted Steinberg algebra is isomorphic to A in a way that preserves D. In this paper, we show there is a lattice isomorphism between wide open subgroupoids of G and subalgebras C such that <math><mi>D</mi><mo>⊆</mo><mi>C</mi><mo>⊆</mo><mi>A</mi></math> and <math><mi>D</mi><mo>⊆</mo><mi>C</mi></math> is a quasi-Cartan pair. We also characterize which algebraic diagonal/algebraic Cartan/quasi-Cartan pairs have the property that every subalgebra C with <math><mi>D</mi><mo>⊆</mo><mi>C</mi><mo>⊆</mo><mi>A</mi></math> has <math><mi>D</mi><mo>⊆</mo><mi>C</mi></math> a diagonal/Cartan/quasi-Cartan pair. In the diagonal case, when the coefficient ring is a field, it is all of them. Beyond that, only pairs that are close to being diagonal have this property. We then apply our techniques to C*-algebraic inclusions and give a complete characterization of which Cartan pairs <math><mi>D</mi><mo>⊆</mo><mi>A</mi></math> have the property that every C*-subalgebra C with <math><mi>D</mi><mo>⊆</mo><mi>C</mi><mo>⊆</mo><mi>A</mi></math> has <math><mi>D</mi><mo>⊆</mo><mi>C</mi></math> a Cartan pair.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"481 ","pages":"Article 110534"},"PeriodicalIF":1.5,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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