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最新文章

• Constructing the extended Haagerup planar algebra AI翻译
  作者：Bigelow, Stephen; Morrison, Scott; Peters, Emily; Snyder, Noah
  作者单位：University of California System; University of California Santa Barbara; Australian National University; Massachusetts Institute of Technology (MIT); Indiana University System; Indiana University Bloomington
• Homogenization and boundary layers AI翻译
  作者：Gerard-Varet, David; Masmoudi, Nader
  作者单位：Universite Paris Cite; Sorbonne Universite; New York University
  摘要：This paper deals with the homogenization of elliptic systems with a Dirichlet boundary condition, when the coefficients of both the system and the boundary data are epsilon-periodic. We show that, as epsilon -> 0, the solutions converge in L-2 with a power rate in epsilon, and identify the homogenized limit system. Due to a boundary layer phenomenon, this homogenized system depends in a non-trivial way on the boundary. Our analysis answers a longstanding open problem, raised for instance in [6...
• The Deligne-Mumford compactification of the real multiplication locus and Teichmuller curves in genus 3 AI翻译
  作者：Bainbridge, Matt; Moeller, Martin
  作者单位：Indiana University System; Indiana University Bloomington; Goethe University Frankfurt
• Spectral gaps for sets and measures AI翻译
  作者：Poltoratski, Alexei
  作者单位：Texas A&M University System; Texas A&M University College Station
• Strict comparison and Z-absorption of nuclear C*-algebras AI翻译
  作者：Matui, Hiroki; Sato, Yasuhiko
  作者单位：Chiba University; Kyoto University
  摘要：For any unital separable simple infinite-dimensional nuclear C (au)-algebra with finitely many extremal traces, we prove that -absorption, strict comparison and property (SI) are equivalent. We also show that any unital separable simple nuclear C (au)-algebra with tracial rank zero is approximately divisible, and hence is -absorbing.
• Perturbations of nuclear C*-algebras AI翻译
  作者：Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart A.; Winter, Wilhelm
  作者单位：University of Copenhagen; University of Edinburgh; Texas A&M University System; Texas A&M University College Station; University of Glasgow; University of Munster
• Algebraic geometry of topological spaces I AI翻译
  作者：Cortinas, Guillermo; Thom, Andreas
  作者单位：University of Buenos Aires; Leipzig University
  摘要：We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, we prove a parameterized version of a theorem by Joseph Gubeladze; we show that if M is a countable, abelian, cancellative, torsion-free, semi-normal monoid, and X is contractible, then every finitely generated projective module over C(X)[M] is free. The particular case giv...