Dan Burghelea / Richard Melrose / Alexander Mishchenko / Evgenij Troitsky (eds.)

C*-algebras and Elliptic Theory II

Herausgegeben von Burghelea, Dan; Melrose, Richard; Mishchenko, Alexander S.; Troitsky, Evgenij V.

• Gebundenes Buch

Produktbeschreibung

This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.

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Produktdetails

• Trends in Mathematics
• Verlag: Birkhäuser Basel / Springer, Basel
• Artikelnr. des Verlages: 12102730
• 2008
• Seitenzahl: 320
• Erscheinungstermin: 18. Februar 2008
• Englisch
• Abmessung: 250mm x 175mm x 23mm
• Gewicht: 671g
• ISBN-13: 9783764386030
• ISBN-10: 3764386037
• Artikelnr.: 23116000

Inhaltsangabe

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.