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.
Inhaltsverzeichnis
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.
