Commutative Algebras of Hochschild Dimension One

Dimension Computations in Non-Commutative Associative Algebras

Non-Commutative Dimension for C*-Algebras

Hochschild Cohomology of Smash Products and Rank One Hopf Algebras

We give some general results on the ring structure of Hochschild cohomology of smash products of algebras with Hopf algebras. We compute this ring structure explicitly for a large class of finite dimensional Hopf algebras of rank one.

Second Hochschild Cohomology of Convolution Algebras

Hochschild Dimension of Tilting Objects

We give a new upper bound for the generation time of a tilting object and use it to verify, in some new cases, a conjecture of Orlov on the dimension of the derived category of coherent sheaves on a smooth variety.