Geodesic
Local groups and their representations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 73-78

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper the notion of a local group is applied in the context of operator algebras, and $C^*$-algebraic constructions are proposed related to the local group. For local group we define $*$-representation and strong $*$-representation which are connected by the extension of the local group. Local group allows you to define the regular representation which is a $*$-representation, and the respective reduced $C^*$-algebra, the last is graded over the extension of the local group.
Keywords: Local group, partial isometry, group partial representation, regular representation, graded $C^*$-algebra. 
@article{IVM_2020_6_a8,
     author = {S. A. Grigoryan and A. Yu. Kuznetsova},
     title = {Local groups and their representations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--78},
     publisher = {mathdoc},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_6_a8/}
}
TY  - JOUR
AU  - S. A. Grigoryan
AU  - A. Yu. Kuznetsova
TI  - Local groups and their representations
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2020
SP  - 73
EP  - 78
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2020_6_a8/
LA  - ru
ID  - IVM_2020_6_a8
ER  - 
%0 Journal Article
%A S. A. Grigoryan
%A A. Yu. Kuznetsova
%T Local groups and their representations
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2020
%P 73-78
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2020_6_a8/
%G ru
%F IVM_2020_6_a8
S. A. Grigoryan; A. Yu. Kuznetsova. Local groups and their representations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 73-78. http://geodesic.mathdoc.fr/item/IVM_2020_6_a8/