A SEMICONTINUOUS TRACE FOR ALMOST LOCAL OPERATORS ON AN OPEN MANIFOLD

DOI10.1142/S0129167X01001106zbMath1111.58302arXivmath/0110294MaRDI QIDQ4807379

Tommaso Isola, Daniele Guido

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110294

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Noncommutative global analysis, noncommutative residues (58J42)

Related Items

A spectral triple for a solenoid based on the Sierpinski gasket ⋮ A trace on fractal graphs and the Ihara zeta function

Cites Work

• Unnamed Item
• On the quasi-isometry invariance of \(L^ 2\)-Betti numbers
• Brownian motion and random walks on manifolds
• An index theorem on open manifolds. I. II
• Von Neumann spectra near zero
• Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Geometry of growth: approximation theorems for \(L^2\) invariants
• Noncommutative Riemann integration and Novikov-Shubin invariants for open manifolds
• A CONSTRUCTION FOR WEIGHTS ON C*-ALGEBRAS: DUAL WEIGHTS FOR C*-CROSSED PRODUCTS