122 citations · 1.1k across the 69 of their papers we have counts for
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Asymmetric noncommutative torus has vanishing Einstein tensor
Deeponjit Bose, Andrzej Sitarz
We explicitly compute the spectral metric, torsion and Einstein tensors for a nontrivial spectral triple on a noncommutative torus, with the Dirac operator related to the fully equ…
Spectral Torsion
Ludwik Dąbrowski, Andrzej Sitarz, Paweł Zalecki
We introduce a trilinear functional of differential one-forms for a finitely summable regular spectral triple with a noncommutative residue. We demonstrate that for a canonical spe…
Braided symmetries of and Podleś Spheres
Rafał Bistroń, Andrzej Sitarz
We present an explicit form of braided symmetries of the quantum spheres, by introducing a braided quantum Hopf algebra $\cU_{q, ϕ}$ and demonstrating that they are braided Hopf mo…
Spectral triples with multitwisted real structure
Ludwik Dabrowski, Andrzej Sitarz
We generalize the notion of spectral triple with reality structure to spectral triples with multitwisted real structure, the class of which is closed under the tensor product compo…
A note on cohomology for multiplier Hopf algebras
Andrzej Sitarz, Daniel Wysocki
In this note we discuss the possibility of constructing the cosimplicial complex for the multiplier Hopf algebras and extending the cyclicity operator to obtain the Hopf-cyclic coh…
On twisted reality conditions
Tomasz Brzezinski, Ludwik Dabrowski, Andrzej Sitarz
We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant. Motiv…