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This tag is used if a reference is needed in a paper or textbook on a specific result.
7
votes
1
answer
349
views
Cofibrations in the model structures for non-negative graded (commutative) DG algebras
Let $k$ be a field of characteristic 0. Let $\mathtt{DGA}_{k}^{+}$ denote the category of non-negative graded DG algebras and $\mathtt{CDGA}_{k}^{+}$ denote the category of non-negative graded commuta …
4
votes
0
answers
229
views
Universal enveloping algebra functor preserves quasi-isomorphism
Let $k$ be a field of characteristic 0. Let $\mathtt{DGA}_{k}$ denote the category of DG algebras and $\mathtt{DGLA}_{k}$ denote the category of DG Lie algebras. It is well known that there are model …
4
votes
0
answers
98
views
$\lambda$-Decomposition for Connes' Cyclic Complex
Let $k$ be a field of characteristic zero, and $A$ be a commutative unital $k$-algebra. Then the cyclic homology of $A$ has a $\lambda$-decomposition:
$$HC_{n}(A)=HC_{n}^{(1)}(A)\oplus \cdots \oplus H …