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The aim is to extend Meta-Operational Mathematics to operator algebras, establishing a cohesive framework for both commutative and noncommutative contexts.

April 21, 2026Open Access

Meta-Operational Mathematics on Operator Algebras: From Commutative to Noncommutative Settings

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The aim is to extend Meta-Operational Mathematics to operator algebras, establishing a cohesive framework for both commutative and noncommutative contexts.
Developed an axiomatic system with ten axioms addressing operator algebra structures.
Constructed a Hopf algebra morphism linking quantum field theory and meta-operations.
Introduced bornological convergence for handling infinite operations on operator algebras.
Established a unified language for connecting operator algebra theory and quantum information theory.
Reformulated K-theory and KK-theory as invariants of meta-operations.
Detailed the meta-operational approaches to positive maps and quantum channels.

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Develops a framework for operator algebras, integrating quantum theories and advanced mathematical structures.

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Liu S (2025) studied this question.

synapsesocial.com/papers/69e71467cb99343efc98dbce https://doi.org/10.5281/zenodo.19652819

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Meta-Operational Mathematics on Operator Algebras: From Commutative to Noncommutative Settings

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Implication

Cite This Study

Meta-Operational Mathematics on Operator Algebras: From Commutative to Noncommutative Settings

Key Points

Discussion

Implication

Cite This Study

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