Yu Shen

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20242026

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math.RA2026

A counterexample to Han's conjecture

Bochao Kong, Yeqin Liu, Yu Shen

There is a finite dimensional $C$ -algebra with $gldim (A) = \infty$ and $HH_{n} (A) = 0$ for $n \geq 1$ .

math.RA2025

A counterexample to DG version of Han's conjecture

Yeqin Liu, Yu Shen

In 2004, Han proposed the following conjecture: let $B$ be a finite-dimensional $k$ -algebra. If $HH_{n} (B) \neq = 0$ for only finitely many $n \in Z$ , then $B$ is smo…