Loday constructions on twisted products and on tori

Part of special issue: Women in Topology III. Abstract: We develop a spectral sequence for the homotopy groups of Loday constructions with respect to twisted cartesian products in the case where the group involved is discrete. We show that for commutative Hopf algebra spectra Loday constructions are stable, generalizing a result by Berest, Ramadoss and Yeung, but prove that several Loday constructions of truncated polynomial rings with reduced coefficients are not stable by investigating their torus homology.

Creator

• Zou, Foling
• Hedenlund, A.
• Klanderman, Sarah
• Richter, B.
• Lindenstrauss, A

Publisher

• Elsevier

Language

• English

Identifier

• https://doi.org/10.1016/j.topol.2022.108103

Stichwort

• topological Hochschild homology
• Hochschild homology
• Twisted cartesian products
• Torus homology
• Stability

Date created

• 2022

Related URL

• Available from the publisher:  https://www.sciencedirect.com/science/article/abs/pii/S0166864122001055
• Available from the library catalog:  https://marianunivindianapolis.on.worldcat.org/oclc/9472680232
• Preprint from arxiv.org:  https://arxiv.org/abs/2002.00715v1
•  https://doi.org/10.1016/j.topol.2022.108103

Resource type

• Article

Source

• Topology and its Applications (Vol.316)

Rights statement

• http://rightsstatements.org/vocab/InC/1.0/