Abstract: We construct a type III factor by using the free product construction introduced by Voi... more Abstract: We construct a type III factor by using the free product construction introduced by Voiculescu and show that its core is $ L (F_ {\ infty})\ otimes B (H) $. We prove that $ M_2 (C)* L^\ infty\ lbrack 0, 1\ rbrack $ is a type $ III_\ lambda $ factor if M 2 (C) is endowed with a nontracial state (depending on $\ lambda $).
We study the homogeneous space of the quantum group Uq(n) related to the subgroup Uq(n m )( m<... more We study the homogeneous space of the quantum group Uq(n) related to the subgroup Uq(n m )( m<n ), classify its irreducible representations and get a formula for its in- variant integral. We also study the double cosets Uq(n m)nUq(n)=Uq(n m) and the hypergroup structure associ- ated with them.
ABSTRACT Not Available Bibtex entry for this abstract Preferred format for this abstract (see Pre... more ABSTRACT Not Available Bibtex entry for this abstract Preferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Return: Query Results Return items starting with number Query Form Database: Astronomy Physics arXiv e-prints
Abstract: We construct a type III factor by using the free product construction introduced by Voi... more Abstract: We construct a type III factor by using the free product construction introduced by Voiculescu and show that its core is $ L (F_ {\ infty})\ otimes B (H) $. We prove that $ M_2 (C)* L^\ infty\ lbrack 0, 1\ rbrack $ is a type $ III_\ lambda $ factor if M 2 (C) is endowed with a nontracial state (depending on $\ lambda $).
We study the homogeneous space of the quantum group Uq(n) related to the subgroup Uq(n m )( m<... more We study the homogeneous space of the quantum group Uq(n) related to the subgroup Uq(n m )( m<n ), classify its irreducible representations and get a formula for its in- variant integral. We also study the double cosets Uq(n m)nUq(n)=Uq(n m) and the hypergroup structure associ- ated with them.
ABSTRACT Not Available Bibtex entry for this abstract Preferred format for this abstract (see Pre... more ABSTRACT Not Available Bibtex entry for this abstract Preferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Return: Query Results Return items starting with number Query Form Database: Astronomy Physics arXiv e-prints
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Papers by L. Vainerman