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C*-algebras and Elliptic Theory II Dan Burghelea

C*-algebras and Elliptic Theory II By Dan Burghelea

C*-algebras and Elliptic Theory II by Dan Burghelea

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Summary

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. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.

C*-algebras and Elliptic Theory II Summary

C*-algebras and Elliptic Theory II by Dan Burghelea

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.

Table of Contents

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.

Additional information

NLS9781402067006
9781402067006
1402067003
C*-algebras and Elliptic Theory II by Dan Burghelea
Dan Burghelea
Trends in Mathematics
New
Paperback
Birkhauser Verlag AG
2008-02-18
309
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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