C*-Algebras & Elliptic Theory II

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.

Editors' Introduction	p. vii
Lefschetz Distribution of Lie Foliations	p. 1
Torsion, as a Function on the Space of Representations	p. 41
The K-theory of Twisted Group Algebras	p. 67
Twisted Burnside Theorem for Two-step Torsion-free Nilpotent Groups	p. 87
Ihara Zeta Functions for Periodic Simple Graphs	p. 103
Adiabatic Limits and the Spectrum of the Laplacian on Foliated Manifolds	p. 123
On the Non-standard Podleś Spheres	p. 145
Boundaries, Eta Invariant and the Determinant Bundle	p. 149
Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators	p. 183
Elliptic Theory on Manifolds with Corners: II. Homotopy Classification and K-Homology	p. 207
Dixmier Traceability for General Pseudo-differential Operators	p. 227
Topological Invariants of Bifurcation	p. 239
Modified Hochschild and Periodic Cyclic Homology	p. 251
L²-invariants and Rank Metric	p. 267
Group Bundle Duality, Invariants for Certain C*-algebras, and Twisted Equivariant K-theory	p. 281
A New Topology on the Space of Unbounded Selfadjoint Operators, K-theory and Spectral Flow	p. 297
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C*-Algebras & Elliptic Theory II

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C*-Algebras & Elliptic Theory II

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