Adelic C⁎-correspondences and parabolic induction
Goffeng, Magnus LU
; Mesland, Bram
and Şengün, Mehmet Haluk
(2026)
In Journal of Functional Analysis
290(8).
- Abstract
In analogy with the factorization of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C⁎[jls-end-space/]-modules and of C⁎[jls-end-space/]-correspondences. The construction produces global C⁎[jls-end-space/]-correspondences from compatible collections of local C⁎[jls-end-space/]-correspondences. When applied to the collection of C⁎[jls-end-space/]-correspondences capturing local parabolic induction, the construction produces a global C⁎[jls-end-space/]-correspondence that captures adelic parabolic induction.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/cf219ecd-e296-4060-8f9a-c43c7fc913b4
- author
- Goffeng, Magnus
LU
; Mesland, Bram
and Şengün, Mehmet Haluk
- organization
- publishing date
- 2026-04
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Adelic reductive groups, C-correspondences, Parabolic induction, Restricted tensor product ofC-algebras
- in
- Journal of Functional Analysis
- volume
- 290
- issue
- 8
- article number
- 111355
- publisher
- Academic Press
- external identifiers
-
- scopus:105029749443
- ISSN
- 0022-1236
- DOI
- 10.1016/j.jfa.2026.111355
- language
- English
- LU publication?
- yes
- id
- cf219ecd-e296-4060-8f9a-c43c7fc913b4
- date added to LUP
- 2026-03-04 14:51:22
- date last changed
- 2026-03-04 14:51:48
@article{cf219ecd-e296-4060-8f9a-c43c7fc913b4,
abstract = {{<p>In analogy with the factorization of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C<sup>⁎</sup>[jls-end-space/]-modules and of C<sup>⁎</sup>[jls-end-space/]-correspondences. The construction produces global C<sup>⁎</sup>[jls-end-space/]-correspondences from compatible collections of local C<sup>⁎</sup>[jls-end-space/]-correspondences. When applied to the collection of C<sup>⁎</sup>[jls-end-space/]-correspondences capturing local parabolic induction, the construction produces a global C<sup>⁎</sup>[jls-end-space/]-correspondence that captures adelic parabolic induction.</p>}},
author = {{Goffeng, Magnus and Mesland, Bram and Şengün, Mehmet Haluk}},
issn = {{0022-1236}},
keywords = {{Adelic reductive groups; C-correspondences; Parabolic induction; Restricted tensor product ofC-algebras}},
language = {{eng}},
number = {{8}},
publisher = {{Academic Press}},
series = {{Journal of Functional Analysis}},
title = {{Adelic C<sup>⁎</sup>-correspondences and parabolic induction}},
url = {{http://dx.doi.org/10.1016/j.jfa.2026.111355}},
doi = {{10.1016/j.jfa.2026.111355}},
volume = {{290}},
year = {{2026}},
}