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, includingsingular, foliated and non-commutative spaces. The topics covered include theindex of operators, torsion invariants, K-theory of operator algebras and L2-invariants. The results presented in this book, which is largely inspired and stimulated by the Atiyah-Singer index theorem, should be of interest to graduates and researchers in mathematical physics, differential topology and differential analysis. Contributions by leading specialists in the field. Reasonable balance between research, expository and mixed papers. Presentation of severalprincipal research directions in the field. INDICE: Preface.- Lefschetz Distribution of Lie Foliations.- Torsion as Function on the Space of Representations.- 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 ofthe Laplacian on Foliated Manifolds.- Non-standard Podle's Spheres.- EllipticTheory on Manifolds with Corners.- Dixmier Traceability for General Pseudo-differential Operators.- Topological Invariants of Bifurcation.- L2-Invariants and Rank Metric.- Group Bundle Duality.- A New Topology on the Space of Unbounded Selfadjoint Operators.- Boundaries, Eta Invariant and the Determinant Bundle.- Modified Hochschild and Periodic Cyclic Homology.

• ISBN: 978-3-7643-8603-0
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 320
• Fecha Publicación: 01/03/2008
• Nº Volúmenes: 1
• Idioma: Inglés