5 citations · 15 across the 3 of their papers we have counts for
8 papers · 1 filter
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…
Natural Energy Bounds in Quantum Thermodynamics
Daniele Guido, Roberto Longo
Given a stationary state for a noncommutative flow, we study a boundedness condition, depending on a positive parameter beta, which is weaker than the KMS equilibrium condition at…
Inclusions of second quantization algebras
Franca Figliolini, Daniele Guido
In this note we study inclusions of second quantization algebras, namely inclusions of von Neumann algebras on the Fock space of a separable complex Hilbert space H, generated by t…