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math.FA2010
The Arens-Michael envelope of a smash product
A. Yu. Pirkovskii
Given a Hopf algebra H and an H-module algebra A, we explicitly describe the Arens-Michael envelope of the smash product A#H in terms of the Arens-Michael envelope of H and a certa…
math.FA2010
Homological dimensions and approximate contractibility for K"othe algebras
A. Yu. Pirkovskii
We give a survey of our recent results on homological properties of K"othe algebras, with an emphasis on biprojectivity, biflatness, and homological dimension. Some new results on…
math.OA2010
Structure theory of homologically trivial and annihilator locally C*-algebras
Alexei Yu. Pirkovskii, Yurii V. Selivanov
We study the structure of certain classes of homologically trivial locally C*-algebras. These include algebras with projective irreducible Hermitian A-modules, biprojective algebra…