198 citations · 1.1k across the 43 of their papers we have counts for
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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★ 5 cited
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.OA2001★ 13 cited
Fractals in Noncommutative Geometry
Daniele Guido, Tommaso Isola
To any spectral triple (A,D,H) a dimension d is associated, in analogy with the Hausdorff dimension for metric spaces. Indeed d is the unique number, if any, such that |D|^-d has n…