A tour of noncommutative spectral theories
Manuel Reyes
TL;DR
This paper surveys various noncommutative spectral theories, providing an overview of how classical spectral concepts are extended to noncommutative algebraic structures.
Contribution
It compiles and explains different approaches to noncommutative spectra, offering a comprehensive overview for mathematicians interested in this area.
Findings
Summarizes key noncommutative spectral theories
Highlights connections between different approaches
Provides insights into open problems and future directions
Abstract
This is a survey of noncommutative generalizations of the spectrum of a ring, written for the Notices of the American Mathematical Society.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Advanced Operator Algebra Research · Advanced Algebra and Geometry