Unitaries in Ultraproduct of Matrices
Liviu Paunescu

TL;DR
This paper investigates conditions under which unitaries in an ultraproduct of matrices can be conjugated to ultraproducts of permutations, advancing understanding of their structural properties.
Contribution
It introduces new criteria for conjugation of unitaries to permutations within ultraproducts of matrices, expanding theoretical knowledge.
Findings
Identifies specific conditions for conjugation to permutations.
Provides a framework for analyzing unitaries in ultraproducts.
Enhances understanding of the structure of ultraproducts.
Abstract
We study various conditions under which a unitary in an ultraproduct of matrices is conjugated to an ultraproduct of permutations.
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Taxonomy
TopicsMatrix Theory and Algorithms · Graph theory and applications · graph theory and CDMA systems
