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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Explicit construction of universal operator algebras and applications to polynomial factorization
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by David P. Blecher and Vern I. Paulsen PDF
Proc. Amer. Math. Soc. 112 (1991), 839-850 Request permission

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
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 839-850
  • MSC: Primary 46L99; Secondary 22D25, 46M05, 47D25
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1049839-7
  • MathSciNet review: 1049839