C-Algebra relations

Authors

  • Terry A. Loring

DOI:

https://doi.org/10.7146/math.scand.a-15142

Abstract

We investigate relations on elements in C-algebras, including -polynomial relations, order relations and all relations that correspond to universal C-algebras. We call these C-relations and define them axiomatically. Within these are the compact C-relations, which are those that determine universal C-algebras, and we introduce the more flexible concept of a closed C-relation. In the case of a finite set of generators, we show that closed C-relations correspond to the zero-sets of elements in a free σ-C-algebra. This provides a solid link between two of the previous theories on relations in C-algebras. Applications to lifting problems are briefly considered in the last section.

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Published

2010-09-01

How to Cite

Loring, T. A. (2010). C-Algebra relations. MATHEMATICA SCANDINAVICA, 107(1), 43–72. https://doi.org/10.7146/math.scand.a-15142

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Section

Articles