Petr Kosenko

activity

20172026

most citedThe fundamental inequality for cocompact Fuchsian groups

1 citations · 1 across the 6 of their papers we have counts for

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math.FA2019

Homological dimensions of smooth crossed products

Petr Kosenko

In this paper we provide upper estimates for the global projective dimensions of smooth crossed products $S (G, A; α)$ for $G = R$ and $G = T$ and a self…

math.FA2017

The Arens-Michael envelopes of Laurent Ore extensions

Petr Kosenko

For an Arens-Michael algebra $A$ we consider a class of $A$ - $\otimes^$ -bimodules which are invertible with respect to the projective bimodule tensor product. We call such bimo…

math.FA2017

Homological dimensions of analytic Ore extensions

Petr Kosenko

If $A$ is an algebra with finite right global dimension, then for any automorphism $α$ and $α$ -derivation $δ$ the right global dimension of $A [t; α, δ]$ satisfies \[ \text{rgld} \,…