C*-algebras and elliptic theory
C*-algebras and elliptic theory
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C*-代数和椭圆理论
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
E. Troitsky
中科院分区：
文献类型：
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作者：
D. Burghelea;R. Melrose;A. Mishchenko;E. Troitsky
Lie Foliations的Lefschetz分布-表示空间上的函数-挠度-扭曲群代数的K-理论-两步无挠幂零群的扭曲Burnside定理-周期简单图的Ihara Zeta函数-叶流形上的绝热极限和拉普拉斯谱-关于非标准Podle？球面。-边界，Eta不变量和行列式丛。-带角流形上的椭圆理论：I.对偶流形和伪微分算子。-带角流形上的椭圆理论：II.同伦分类和K-同调。-一般伪微分算子的二维可溯性。-分支的拓扑不变量。-修正的Hochschild和周期循环同调。-L 2-不变量和秩度量。-群丛对偶，某些C*-代数的不变量，和扭曲的自变K-理论。-无界伴随算子空间的新拓扑，K-理论和谱流。
Lefschetz Distribution of Lie Foliations.- Torsion, as a Function on the Space of Representations.- The K-theory of Twisted Group Algebras.- Twisted Burnside Theorem for Two-step Torsion-free Nilpotent Groups.- Ihara Zeta Functions for Periodic Simple Graphs.- Adiabatic Limits and the Spectrum of the Laplacian on Foliated Manifolds.- On the Non-standard Podle? Spheres.- Boundaries, Eta Invariant and the Determinant Bundle.- Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators.- Elliptic Theory on Manifolds with Corners: II. Homotopy Classification and K-Homology.- Dixmier Traceability for General Pseudo-differential Operators.- Topological Invariants of Bifurcation.- Modified Hochschild and Periodic Cyclic Homology.- L 2-invariants and Rank Metric.- Group Bundle Duality, Invariants for Certain C*-algebras, and Twisted Equivariant K-theory.- A New Topology on the Space of Unbounded Selfadjoint Operators, K-theory and Spectral Flow.