Geodesic
Tensor sum of infinitesimal generators
Filomat, Tome 36 (2022) no. 17, p. 5835

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DOI

Let A and B be C*-algebras, and let δ be a derivation on the tensor product A ⊗ B endowed with a uniform cross norm. In this paper, we present a decomposition for δ as δ = ∆ ⊗ id + id ⊗ ∇, where id stands for the identity operator and ∆ and ∇ are derivations on A and B, respectively. Moreover, the concept of flow on the tensor product of C*-algebras and some properties of tensor sum are investigated.
DOI : 10.2298/FIL2217835M
Classification : 46L06, 46M05
Keywords: Derivation, Tensor Sum, Flow, Infinitesimal Generator, C∗-algebra 
Hamed Minaee Azari; Asadollah Niknam; Ali Dadkhah. Tensor sum of infinitesimal generators. Filomat, Tome 36 (2022) no. 17, p. 5835 . doi: 10.2298/FIL2217835M
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     author = {Hamed Minaee Azari and Asadollah Niknam and Ali Dadkhah},
     title = {Tensor sum of infinitesimal generators},
     journal = {Filomat},
     pages = {5835 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217835M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217835M/}
}
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