Arens algebras of measurable operators for Maharam traces
A. A. Alimov
TL;DR
This paper investigates the order and topological characteristics of non-commutative Arens algebras linked to Maharam traces, expanding understanding of their structure in operator algebra theory.
Contribution
It introduces a comprehensive analysis of the order and topological properties of Arens algebras associated with Maharam traces, a novel exploration in non-commutative integration theory.
Findings
Characterization of order properties of Arens algebras
Topological structure analysis of these algebras
Extension of classical results to non-commutative setting
Abstract
We study order and topological properties of the non-commutative Arens algebra associated with arbitrary Maharam trace.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models