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motivique
motivique
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Let $A$ be a dg-agebraalgebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-alebraalgebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex" available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?

Let $A$ be a dg-agebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-alebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex" available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?

Let $A$ be a dg-algebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-algebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex" available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?

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motivique
motivique
  • 51
  • 2

Let $A$ be a dg-agebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-alebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex| availablecomplex" available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?

Let $A$ be a dg-agebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-alebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex| available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?

Let $A$ be a dg-agebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-alebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex" available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?

Source Link
motivique
motivique
  • 51
  • 2

Is the Hochschild chain complex $C_*(A, A)$ a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Let $A$ be a dg-agebra, or more generally an $A_\infty$-algebra. Then it is well known that the Hochschild cochain complex $C^*(A, A)$ computing Hochschild cohomology is a $B_\infty$-alebra, see for example, the paper of Bernhard Keller "Derived invariance of higher structures on the Hochschild complex| available on his pageweb.

I would like to know whether the Hochschild chain complex $C_*(A, A)$ (which computes Hochschild homology) is a $B_\infty$-module over the Hochschild cochain complex $C^*(A, A)$?

Can someone give me the precise defintion, or a precise reference, of the action of $C^*(A,A)$

on $C_*(A, A)$ if the answer is Yes?