C*-algebras and Elliptic Theory II

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.

Sommario

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.

Riassunto

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.

Dettagli sul prodotto

• Con la collaborazione di: Dan Burghelea (Editore), Richar Melrose (Editore), Richard Melrose (Editore), Alexander S. Mishchenko (Editore), Alexander S Mishchenko et al (Editore), Evgenij V. Troitsky (Editore)
• Editore: Springer, Basel
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 07.03.2012
• EAN: 9783764386030
• ISBN: 978-3-7643-8603-0
• Pagine: 309
• Dimensioni: 168 mm x 235 mm x 237 mm
• Peso: 671 g
• Illustrazioni: IX, 309 p.
• Serie: Trends in Mathematics; Trends in Mathematics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra; Algebra, C, Singularity, Funktionalanalysis und Abwandlungen, Mathematics and Statistics, Functional Analysis, Functional analysis & transforms, Algebraic Topology, Schrödinger operator, index theory, Morse theory