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ON THE HOCHSCHILD HOMOLOGY OF INVOLUTIVE ALGEBRAS
RAMSÈS FERNÀNDEZ-VALÈNCIA,
Jeffrey Giansiracusa
Glasgow Mathematical Journal, Volume: 60, Issue: 01, Pages: 187 - 198
Swansea University Author: Jeffrey Giansiracusa
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DOI (Published version): 10.1017/S0017089516000653
Abstract
We study the homological algebra of bimodules over involutive associative algebras. We show that Braun’s definition of involutive Hochschild cohomology in terms of the complex of involution-preserving derivations is indeed computing a derived functor: the Z/2-invariants intersected with the center....
| Published in: | Glasgow Mathematical Journal |
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| ISSN: | 0017-0895 1469-509X |
| Published: |
Cambridge University Press
2018
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa30925 |
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| Abstract: |
We study the homological algebra of bimodules over involutive associative algebras. We show that Braun’s definition of involutive Hochschild cohomology in terms of the complex of involution-preserving derivations is indeed computing a derived functor: the Z/2-invariants intersected with the center. We then introduce the corresponding involutive Hochschild homology theory and describe it as the derived functor of the pushout of Z/2-coinvariants and abelianization. |
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| Keywords: |
Hochschild homology, involution, involutive algebras, bimodules |
| College: |
Faculty of Science and Engineering |
| Issue: |
01 |
| Start Page: |
187 |
| End Page: |
198 |