On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers

A. Yu. Kuznetsova; Ye. V. Patrin

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Title: On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers

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1829-1163

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Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

50-58

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

Date created:

2015-05-25

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pdf

Identifier:

oai:arar.sci.am:13279

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Functional analysis

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Digital Library > Articles

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

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https://arar.sci.am/publication/15005

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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

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On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers	Apr 19, 2024

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Title: On the structure of $C^*$-algebra generated by a family of partial isometries and multipliers

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