5 citations · 15 across the 4 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2001
An asymptotic dimension for metric spaces, and the 0-th Novikov-Shubin invariant
Daniele Guido, Tommaso Isola
A nonnegative number d_infinity, called asymptotic dimension, is associated with any metric space. Such number detects the asymptotic properties of the space (being zero on bounded…
math.DG2001
A semicontinuous trace for almost local operators on an open manifold
Daniele Guido, Tommaso Isola
A semicontinuous semifinite trace is constructed on the C*-algebra generated by the finite propagation operators acting on the L^2-sections of a hermitian vector bundle on an amena…
math.DG1998
Novikov-Shubin invariants and asymptotic dimensions for open manifolds
Daniele Guido, Tommaso Isola
The Novikov-Shubin numbers are defined for open manifolds with bounded geometry, the Gamma-trace of Atiyah being replaced by a semicontinuous semifinite trace on the C*-algebra of…