9 papers
Quantum correlations on quantum spaces
Arkadiusz Bochniak, Paweł Kasprzak, Piotr M. Sołtan
For given quantum (non-commutative) spaces and we study the quantum space of maps from to .…
Resolution Enhancement in Protein NMR Spectra by Deconvolution with Compressed Sensing Reconstruction
Krzysztof Kazimierczuk, Paweł Kasprzak, Panagiota S. Georgoulia +6
Multidimensional NMR spectroscopy is one of the basic tools for determining the structure of biomolecules. Unfortunately, the resolution of the spectra is often limited by inter-nu…
Kawada-Itô-Kelley Theorem for Quantum Semigroups
Paweł Kasprzak, Fatemeh Khosravi, Piotr M. Sołtan
Idempotent states on locally compact quantum semigroups with weak cancellation properties are shown to be Haar states on a certain sub-object described by an operator system with c…
Generalized (co)integrals on coideal subalgebras
Paweł Kasprzak
Given a a Hopf algebra , its left coideal subalgebra and a non-zero multiplicative functional on , we define the space of left -integrals . We obse…
Integrals in left coideal subalgebras and group-like projections
Alexandru Chirvasitu, Pawel Kasprzak, Piotr Szulim
We develop a theory of right group-like projections in Hopf algebras linking them with the theory of left coideal subalgebras with two sided counital integrals. Every right group-l…
Shifts of group-like projections and contractive idempotent functionals for locally compact quantum groups
Paweł Kasprzak
A one to one correspondence between shifts of group-like projections on a locally compact quantum group which are preserved by the scaling group and contractive idem…