Geodesic
Continuity of ring homomorphisms for local $C^\star$-algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 34-39

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We show that a ring homomorphism from a local $\sigma-C^\star$-algebra to a local $C^\star$-algebra is a continuous mapping.
Keywords: local $C^\star$-algebras, homomorphisms, positive operators. 
@article{IVM_2011_8_a4,
     author = {I. N. Maliev and M. A. Pliev},
     title = {Continuity of ring homomorphisms for local $C^\star$-algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {34--39},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_8_a4/}
}
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I. N. Maliev; M. A. Pliev. Continuity of ring homomorphisms for local $C^\star$-algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 34-39. http://geodesic.mathdoc.fr/item/IVM_2011_8_a4/