Journal article
Tensor Product Decompositions of II1 Factors Arising from Extensions of Amalgamated Free Product Groups
Communications in Mathematical Physics, Vol.364(3), pp.1163-1194
12/2018
DOI: 10.1007/s00220-018-3175-z
Abstract
In this paper we introduce a new family of icc groups $${\Gamma}$$ Γ which satisfy the following product rigidity phenomenon, discovered in Drimbe et al. (J Reine Angew Math, 2016. arXiv:1611.02209): all tensor product decompositions of the II1 factor $${L(\Gamma)}$$ L(Γ) arise only from the canonical direct product decompositions of the underlying group $${\Gamma}$$ Γ . Our groups are assembled from certain HNN-extensions and amalgamated free products and include many remarkable groups studied throughout mathematics such as graph product groups, poly-amalgam groups, Burger–Mozes groups, Higman group, various integral two-dimensional Cremona groups, etc. As a consequence we obtain several new examples of groups that give rise to prime factors.
Details
- Title: Subtitle
- Tensor Product Decompositions of II1 Factors Arising from Extensions of Amalgamated Free Product Groups
- Creators
- Ionut Chifan - 0000 0004 1936 8294 grid.214572.7 Department of Mathematics The University of Iowa 14 MacLean Hall Iowa City IA 52242 USARolando de Santiago - 0000 0000 9632 6718 grid.19006.3e Department of Mathematics University of California Los Angeles Los Angeles CA USAWanchalerm Sucpikarnon - 0000 0004 1936 8294 grid.214572.7 Department of Mathematics The University of Iowa 14 MacLean Hall Iowa City IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Communications in Mathematical Physics, Vol.364(3), pp.1163-1194
- DOI
- 10.1007/s00220-018-3175-z
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- Publisher
- Springer Berlin Heidelberg; Berlin/Heidelberg
- Grant note
- 1600688; 1301370 / National Science Foundation (http://dx.doi.org/10.13039/100000001)
- Language
- English
- Date published
- 12/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9983985881902771
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