12 citations · 13 across the 4 of their papers we have counts for
4 papers
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…
Poisson transform for higher-rank graph algebras and its applications
Adam Skalski, Joachim Zacharias
Higher-rank graph generalisations of the Popescu-Poisson transform are constructed, allowing us to develop a dilation theory for higher rank operator tuples. These dilations are jo…
Wold decomposition for representations of product systems of C*-correspondences
Adam Skalski, Joachim Zacharias
Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C*-correspondences over N^k, generalising the clas…
Minimal Cuntz-Krieger Dilations and Representations of Cuntz-Krieger Algebras
B. V. Rajarama Bhat, Santanu Dey, Joachim Zacharias
Given a contractive tuple of Hilbert space operators satisfying certain -relations we show that there exists a unique minimal dilation to generators of Cuntz-Krieger algebras or…