C\*-algebras and Elliptic Theory II

Dan Burghelea

ISBN 10: 3764386037 / ISBN 13: 9783764386030

Editore: Springer, Basel, Birkhäuser Basel Feb 2008, 2008

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 309 pp. Englisch.

Codice articolo 9783764386030

Dati bibliografici

• Titolo: C\*-algebras and Elliptic Theory II
• Editore: Springer, Basel, Birkhäuser Basel Feb 2008
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764386037
• ISBN 13: 9783764386030
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Contenuti

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.