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Can I read Relative Cyclic Homology of Square Zero Extensions on EtoBox?
Relative Cyclic Homology of Square Zero Extensions by Jorge A Guccione; Juan J Guccione is a Mathematics article available to read on EtoBox.
What is Relative Cyclic Homology of Square Zero Extensions about?
Let k be a characteristic zero field, C a k-algebra and M a square zero two sided ideal of C. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of C relative to M. This complex resembles the canonical reduced mixed complex of an augmented algebra. We begin the study of our complex showing that it has a harmonic decomposition like to the one considered by Cuntz and Quillen for the normalized mixed complex of an algebra. We also give new proofs of two theorems of Goodwillie, obtaining a light improvement of one of them.
Who reads Relative Cyclic Homology of Square Zero Extensions?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jorge A Guccione; Juan J Guccione
- Publisher
- Walter de Gruyter GmbH
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)