Given two noetherian algebras $A$ and $B$ over a field, is there any description of $H_n(GL(A\otimes B))$ in terms of $H_i(GL(A))$ and $H_i(GL(B))$? Let's assume homologies for $A$ and $B$ are trivial, does that imply anything regarding the homologies of their tensor?
2026-03-25 20:35:23.1774470923
General linear group of tensor product.
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