Geodesic
On compact quantum semigroup $QS_\mathrm{red}$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 63-68

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We study some properties of a reduced semigroup $C^*$-algebra of a semigroup $S$. For the semigroup $C^*$-algebra generated by the deformation of the algebra of continuous functions on a compact abelian group we obtain a structure of a compact quantum semigroup. We also consider morphisms of constructed compact quantum semigroups.
Keywords: $C^*$-algebra, compact quantum semigroup, isometric representation, morphisms of quantum semigroups. 
@article{IVM_2013_10_a5,
     author = {M. A. Aukhadiev and S. A. Grigoryan and E. V. Lipacheva},
     title = {On compact quantum semigroup $QS_\mathrm{red}$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {63--68},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a5/}
}
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M. A. Aukhadiev; S. A. Grigoryan; E. V. Lipacheva. On compact quantum semigroup $QS_\mathrm{red}$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 63-68. http://geodesic.mathdoc.fr/item/IVM_2013_10_a5/