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We introduce the analogue of Bohr compactification for discrete quantum groups on C-algebra level. The cases of unimodular and general C-algebraic discrete quantum groups are treated separately. The passage from the former case to the latter is done with help of the concept of canonical Kac quotient for compact quantum groups1. Several examples are… (More)
Quantum families of maps between quantum spaces are defined and studied. We prove that quantum semigroup (and sometimes quantum group) structures arise naturally on such objects out of more fundamental properties. As particular cases we study quantum semigroups of maps preserving a fixed state and quantum commutants of given quantum families of maps.
The authors describe a patient with malignant lymphoma presenting with clinically severe malabsorption due to diffuse involvement of the small intestine and with intestinal obstruction. The histologic diagnosis was based on the association of (1) diffuse involvement of the small intestine showing lymphoid tissue expansion and (2) a non-classified form of… (More)
The recently compiled clinical experiences support the previous theory, that the cysteinil-leukotriens have an important role in the pathomechanism of bronchial asthma. Zafirlukast is a selective antagonist of the receptor 1 of cysteinil-leukotriens, and its use reduces the severity of asthma symptoms. The effect of 20 mg zafirlukast b.i.d was studied in 31… (More)
Given a discrete quantum group (A , δ) we construct Hopf ∗algebra AP which is a unital ∗-subalgebra of the multiplier algebra of A . The structure maps for AP are inherited from M(A ) and thus the construction yields a compactification of (A , δ) which is analogous to the Bohr compactification of a locally compact group. This algebra has the expected… (More)
UNLABELLED The exocrine pancreatic function was examined in 20 patient without any detectable gastrointestinal disorder. We used 1 g 4(N-acetyl-L-thyrosil) aminobenzoic acid (ALTAB) an Lundh's test meal containing 25 g lactose, and the test was repeated with 3 g lactase (Galantase). The urine was collected for 6 hours to check PABA excretion in urine.… (More)
We investigate the problem whether a given multiplier of a tensor product of two algebras belongs to the tensor product of multiplier algebras. We give a characterization of such multipliers in the case when one of the algebras is the algebra of functions on a discrete quantum group.
We construct quantum “az + b” groups for new values of the deformation parameter. Along the way we introduce new special functions and study their analytic properties as well as analyze the commutation relations determined by the choice of parameter.