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.References
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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