Geodesic
The structure of $C^*$-subalgebras of the Toeplitz algebra fixed with respect to a~finite group of automorphisms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 14-23

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In this paper we study the $C^*$-subalgebras of the Toeplitz algebra $\mathcal T$, each element of which is fixed relative to finite subgroup of automorphisms of the algebra $\mathcal T$. We prove that such subalgebras have a finite family of unitarily equivalent irreducible representations.
Mots-clés : index of monomial
Keywords: Toeplitz algebra, irreducible representation, $C^*$-algebra, bicyclic semigroup. 
@article{IVM_2015_6_a2,
     author = {E. V. Lipacheva and K. G. Ovsepyan},
     title = {The structure of $C^*$-subalgebras of the {Toeplitz} algebra fixed with respect to a~finite group of automorphisms},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {14--23},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_6_a2/}
}
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E. V. Lipacheva; K. G. Ovsepyan. The structure of $C^*$-subalgebras of the Toeplitz algebra fixed with respect to a~finite group of automorphisms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 14-23. http://geodesic.mathdoc.fr/item/IVM_2015_6_a2/