Index of nonlocal elliptic operators over \(C^*\)-algebras

DOI10.1134/S1064562409030193zbMath1186.58017MaRDI QIDQ736019

A. Yu. Savin, B. Yu. Sternin

Publication date: 26 October 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebraindex formulapseudo-differential operatornonlocal elliptic operator

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Noncommutative global analysis, noncommutative residues (58J42)

Cites Work

• Spectral invariant subalgebras of reduced crossed product \(C^*\)-algebras
• Spectral invariance of smooth crossed products, and rapid decay locally compact groups
• The index of elliptic operators. III
• SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS