Homological dimensions of smooth crossed products

DOI10.1007/S43034-021-00125-WzbMath1491.46073arXiv1905.08400OpenAlexW3162229100MaRDI QIDQ2033834

Petr Kosenko

Publication date: 18 June 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08400

zbMATH Keywords

Fréchet algebrashomological dimensionssmooth crossed products

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Homological dimension in associative algebras (16E10)

Cites Work

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• Six-term exact sequences for smooth generalized crossed products
• Smooth crossed products of Rieffel's deformations
• Homological dimensions of certain algebras of principal (test) functions
• DENSE m-CONVEX FRÉCHET SUBALGEBRAS OF OPERATOR ALGEBRA CROSSED PRODUCTS BY LIE GROUPS
• Homological dimensions and Van den Bergh isomorphisms for nuclear Fréchet algebras
• Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras
• Representable K-Theory of Smooth Crossed Products by ℝ and ℤ
• Algebra Extensions and Nonsingularity
• Produits tensoriels topologiques et espaces nucléaires

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