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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Explicit construction of universal operator algebras and applications to polynomial factorization


Authors: David P. Blecher and Vern I. Paulsen
Journal: Proc. Amer. Math. Soc. 112 (1991), 839-850
MSC: Primary 46L99; Secondary 22D25, 46M05, 47D25
MathSciNet review: 1049839
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Abstract: Using the characterization of unital operator algebras developed in [6], we give explicit internal definitions of the free product and the maximal operator-algebra tensor product of operator algebras and of the group operator algebra $ {\text{OA}}(G)$ of a discrete semigroup $ G$ (if $ G$ is a discrete group, then $ {\text{OA}}(G)$ coincides with the group $ {C^ * }$-algebra $ {C^*}(G))$). This approach leads to new factorization theorems for polynomials in one and two variables.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1049839-7
PII: S 0002-9939(1991)1049839-7
Article copyright: © Copyright 1991 American Mathematical Society