Nets of graded $C^*$-algebras over partially ordered sets
Algebra i analiz, Tome 30 (2018) no. 6, pp. 1-19.

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

@article{AA_2018_30_6_a0,
     author = {S. A. Grigoryan and E. V. Lipacheva and A. S. Sitdikov},
     title = {Nets of graded $C^*$-algebras over partially ordered sets},
     journal = {Algebra i analiz},
     pages = {1--19},
     publisher = {mathdoc},
     volume = {30},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2018_30_6_a0/}
}
TY  - JOUR
AU  - S. A. Grigoryan
AU  - E. V. Lipacheva
AU  - A. S. Sitdikov
TI  - Nets of graded $C^*$-algebras over partially ordered sets
JO  - Algebra i analiz
PY  - 2018
SP  - 1
EP  - 19
VL  - 30
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2018_30_6_a0/
LA  - ru
ID  - AA_2018_30_6_a0
ER  - 
%0 Journal Article
%A S. A. Grigoryan
%A E. V. Lipacheva
%A A. S. Sitdikov
%T Nets of graded $C^*$-algebras over partially ordered sets
%J Algebra i analiz
%D 2018
%P 1-19
%V 30
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2018_30_6_a0/
%G ru
%F AA_2018_30_6_a0
S. A. Grigoryan; E. V. Lipacheva; A. S. Sitdikov. Nets of graded $C^*$-algebras over partially ordered sets. Algebra i analiz, Tome 30 (2018) no. 6, pp. 1-19. http://geodesic.mathdoc.fr/item/AA_2018_30_6_a0/

[1] Haag R., Kastler D., “An algebraic approach to quantum field theory”, J. Math. Phys., 5 (1964), 848–861 | DOI | MR | Zbl

[2] Haag R., Local quantum physics. Fields, particles, algebras, Texts Monogr. Phys., Springer-Verlag, Berlin, 1992 | MR | Zbl

[3] Khoruzhii S. S., Vvedenie v algebraicheskuyu kvantovuyu teoriyu polya, Nauka, M., 1986 | MR

[4] Ruzzi G., “Homotopy of posets, net cohomology and superselection sectors in globally hyperbolic space-times”, Rev. Math. Phys., 17:9 (2005), 1021–1070 | DOI | MR | Zbl

[5] Vasselli E., “Presheaves of symmetric tensor categories and nets of $C^*$-algebras”, J. Noncommut. Geom., 9:1 (2015), 121–159 | DOI | MR | Zbl

[6] Ruzzi G., Vasselli E., “A new light on nets of $C^*$-algebras and their representations”, Comm. Math. Phys., 312:3 (2012), 655–694 | DOI | MR | Zbl

[7] Grigoryan S. A., Salakhutdinov A. F., “$C^*$-algebry, porozhdennye polugruppami s sokrascheniem”, Sib. mat. zh., 51:1 (2010), 16–25 | MR | Zbl

[8] Aukhadiev M. A., Grigoryan S. A., Lipacheva E. V., “Operatornyi podkhod k kvantovaniyu polugrupp”, Mat. sb., 205:3 (2014), 15–40 | DOI | MR | Zbl

[9] Lipacheva E. V., Ovsepyan K. G., “Struktura podalgebr algebry Teplitsa nepodvizhnykh otnositelno konechnoi gruppy avtomorfizmov”, Izv. vuzov. Mat., 2015, no. 6, 14–23 | MR | Zbl

[10] Lipacheva E. V., Ovsepyan K. G., “Struktura invariantnykh idealov nekotorykh podalgebr algebry Teplitsa”, Izv. NAN Armenii. Mat., 50:2 (2015), 38–52 | MR | Zbl

[11] Lipacheva E. V., Ovsepyan K. G., “Avtomorfizmy nekotorykh podalgebr algebry Teplitsa”, Sib. mat. zh., 57:3 (2016), 666–674 | DOI | MR | Zbl

[12] Grigoryan S. A., Lipacheva E. V., “O strukture $C^*$-algebr, porozhdennykh predstavleniyami elementarnoi inversnoi polugruppy”, Uchen. zap. Kazan. un-ta. Ser. fiz.-mat. nauki, 158, no. 2, 2016, 180–193

[13] Grigoryan S., Grigoryan T., Lipacheva E., Sitdikov A., “$C^*$-algebra generated by the paths semigroup”, Lobachevskii J. Math., 37:6 (2016), 740–748 | DOI | MR | Zbl

[14] Exel R., Partial dynamical systems, Fell bundles and applications, Math. Surv. Monogr., 224, Amer. Math. Soc., Providence, RI, 2017 | DOI | MR | Zbl