2014/12/06 by Maria Joiţa, Joiţa, Maria, Radu-B. Munteanu +3
Materials Science · Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Lanthanide and Transition Metal Complexes #Operator Algebras (math.OA) #math.FA #math.OA
paper · pdf · doi:10.48550/arxiv.1412.2270
To appear in Operators and Matrices. arXiv admin note: text overlap with arXiv:1410.7823
arxiv created 2014/12/06 · openalex publication_date 2014/12/06 · arxiv updated 2014/12/20 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
In this paper we introduce the notion of multiplier of a Hilbert pro-C∗ -bimodule and we investigate the structure of the multiplier bimodule of a Hilbert pro-C∗-bimodule. We also investigate the relationship between the crossed product A× Xℤ of a pro-% C∗ -algebra A by a Hilbert pro-C∗ -bimodule X over A, the crossed product M(A)× M(X)ℤ of the multiplier algebra M(A) of A by the multiplier bimodule M(X) of X and the multiplier algebra M(A× Xℤ) of A× Xℤ.