November 17, 2025Proceedings of the Royal Society of Edinburgh Section A MathematicsOpen Access

Reflexive homology and involutive Hochschild homology as equivariant Loday constructions

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Authors

ALAyelet Lindenstrauss BRBirgit Richter

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Implication

Analysis shows a relationship among homology theories and homotopy groups in associative k-algebras, indicating new insights into algebraic structures.

Key Points

Homology theories connect to homotopy groups in associative k-algebras and flat abelian groups.
Key finding demonstrates this relationship for cases involving anti-involution and equivariant constructions.
Theoretical analysis utilizes concepts from algebra and homotopy theory to bridge gaps in current understanding.
Results point to the necessity of understanding flatness and invertibility conditions for broader implications.

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Lindenstrauss et al. (2025) studied this question.

synapsesocial.com/papers/692509eec0ce034ddc3529c4 https://doi.org/10.1017/prm.2025.10093

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Implication

Analysis shows a relationship among homology theories and homotopy groups in associative k-algebras, indicating new insights into algebraic structures.

Reflexive homology and involutive Hochschild homology as equivariant Loday constructions

Discussion

Member takes

Implication

Key Points

Cite This Study

Reflexive homology and involutive Hochschild homology as equivariant Loday constructions

Discussion

Member takes

Implication

Key Points

Cite This Study

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