C*-algebras and Elliptic Theory II [electronic resource] /
Burghelea, Dan.editor.
Melrose, Richard.editor.
Mishchenko, Alexander S.editor.
Troitsky, Evgenij V.editor.
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. 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.
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. 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.
"The conference 'C*-algebras and elliptic theory, II' was held at the Stefan Banach International Mathematical Center in Będlewo, Poland, in January 2006."--P. [vii].
Includes bibliographic references.
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.
Algebra.
Functional analysis.
Algebra.
Functional Analysis.