41 citations · 153 across the 25 of their papers we have counts for
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Non- (quantum) differentiable -functions in the spaces with trivial Boyd indices
Denis Potapov, Fyodor Sukochev
If E is a separable symmetric sequence space with trivial Boyd indices and $\cC^E$ is the corresponding ideal of compact operators, then there exists a -function , a self…
Unbounded Fredholm modules and double operator integrals
Denis Potapov, Fyodor Sukochev
In noncommutative geometry one is interested in invariants such as the Fredholm index or spectral flow and their calculation using cyclic cocycles. A variety of formulae have been…
The Haar system in the preduals of hyperfinite factors
Denis Potapov, Fyodor Sukochev
We shall present examples of Schauder bases in the preduals to the hyperfinite factors of types , , , . In the semifinite…
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators
Alan Carey, Denis Potapov, Fyodor Sukochev
One may trace the idea that spectral flow should be given as the integral of a one form back to the 1974 Vancouver ICM address of I.M. Singer. Our main theorem gives analytic formu…