Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers
Creator:
A. Yu. Kuznetsova ; Ye. V. Patrin
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
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Coverage:
Abstract:
In the paper we consider an operator algebra generated by a family of partial isometries associated with a self-mapping on a countable set and by multipliers. An action of the unit circle on this algebra is specified that determines its $\mathbb{Z}$-grading. Under some conditions on the mapping the algebra is isomorphic to the crossed product of its fixed point subalgebra and the semigroup $\mathbb{N}$.
Publisher:
National Academy of Sciences of Armenia
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General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան