97 citations · 519 across the 71 of their papers we have counts for
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A note on spectral triples and quasidiagonality
Adam Skalski, Joachim Zacharias
Spectral triples (of compact type) are constructed on arbitrary separable quasidiagonal C*-algebras. On the other hand an example of a spectral triple on a non-quasidiagonal algebr…
On isometric dilations of product systems of C*-correspondences and applications to families of contractions associated to higher-rank graphs
Adam Skalski
Let E be a product system of C*-correspondences over N^r. Some sufficient conditions for the existence of a not necessarily regular isometric dilation of a completely contractive r…
On idempotent states on quantum groups
Uwe Franz, Adam Skalski
Idempotent states on a compact quantum group are shown to yield group-like projections in the multiplier algebra of the dual discrete quantum group. This allows to deduce that ever…
Quantum Isometry Groups of 0- Dimensional Manifolds
Jyotishman Bhowmick, Debashish Goswami, Adam Skalski
Quantum isometry groups of spectral triples associated with approximately finite-dimensional C*-algebras are shown to arise as inductive limits of quantum symmetry groups of corres…
Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups
Adam Skalski, Joachim Zacharias
We construct explicit approximating nets for crossed products of C*-algebras by actions of discrete quantum groups. This implies that C*-algebraic approximation properties such as…
Noncommutative topological entropy of endomorphisms of Cuntz algebras
Adam Skalski, Joachim Zacharias
Noncommutative topological entropy estimates are obtained for polynomial gauge invariant endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomor…
On ergodic properties of convolution operators associated with compact quantum groups
Uwe Franz, Adam Skalski
Recent results of M.Junge and Q.Xu on the ergodic properties of the averages of kernels in noncommutative L^p-spaces are applied to the analysis of the almost uniform convergence o…