5 citations · 15 across the 4 of their papers we have counts for
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The problem of completeness for Gromov-Hausdorff metrics on C*-algebras
Daniele Guido, Tommaso Isola
It is proved that the family of equivalence classes of Lip-normed C*-algebras introduced by M. Rieffel, up to isomorphisms preserving the Lip-seminorm, is not complete w.r.t. the m…
On the domain of singular traces
Daniele Guido, Tommaso Isola
The question whether an operator belongs to the domain of some singular trace is addressed, together with the dual question whether an operator does not belong to the domain of som…
Dimensions and singular traces for spectral triples, with applications to fractals
Daniele Guido, Tommaso Isola
Given a spectral triple (A,D,H), the functionals on A of the form a -> tau_omega(a|D|^(-t)) are studied, where tau_omega is a singular trace, and omega is a generalised limit. When…
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…
Singular traces, dimensions, and Novikov-Shubin invariants
Daniele Guido, Tommaso Isola
In Alain Connes noncommutative geometry, the question of the existence of a non-trivial integral can be described in terms of the singular traceability of the compact operator |D|^…