C*-algebras and Elliptic Theory II

Dan Burghelea, Richard Melrose, Alexander S. Mishchenko, Evgenij V. Troitsky (Herausgeber)

Buch | Hardcover

IX, 309 Seiten

2008 | 2008
Springer Basel (Verlag)
978-3-7643-8603-0 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 18.2.2008
• Reihe/Serie: Trends in Mathematics
• Zusatzinfo: IX, 309 p.
• Verlagsort: Basel
• Sprache: englisch
• Maße: 170 x 244 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: Algebra • algebraic topology • Dirac Operator • Distribution • Hardcover, Softcover / Mathematik/Analysis • HC/Mathematik/Analysis • Index Theory • K-theory • Morse Theory • Schrödinger operator • Singularity
• ISBN-10: 3-7643-8603-7 / 3764386037
• ISBN-13: 978-3-7643-8603-0 / 9783764386030
• Zustand: Neuware