Operator approach to quantization of semigroups
Journal Article
·
· Sbornik. Mathematics
- Kazan State Power Engineering University, Kazan (Russian Federation)
The paper is devoted to the construction of compact quantum semigroups from semigroup C{sup ∗}-algebras generated by the 'deformation' of algebras of continuous functions on compact Abelian groups. The dual space of such a C{sup ∗}-algebra is endowed with the structure of a Banach *-algebra containing the algebra of measures on a compact group. We construct a weak Hopf *-algebra that is dense in such a compact quantum semigroup. We show that there exists an injective functor from the constructed category of compact quantum semigroups into the category of Abelian semigroups. Bibliography: 25 titles.
- OSTI ID:
- 22365577
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 205; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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