Introduces higher tau-Hochschild (co)homology and proves that, for bound quiver algebras, its infinite non-vanishing is equivalent to two newly defined 'infinite' global dimension properties tied to Happel's question and Han's conjecture.
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Happel's question, Han's conjecture and $\tau$-Hochschild (co)homology
Introduces higher tau-Hochschild (co)homology and proves that, for bound quiver algebras, its infinite non-vanishing is equivalent to two newly defined 'infinite' global dimension properties tied to Happel's question and Han's conjecture.