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research article
Gelfand pairs admit an Iwasawa decomposition
August 3, 2020
Every Gelfand pair (G, K) admits a decomposition G = K P, where P < G is an amenable subgroup. In particular, the Furstenberg boundary of G is homogeneous. Applications include the complete classification of non-positively curved Gelfand pairs, relying on earlier joint work with Caprace, as well as a canonical family of pure spherical functions in the sense of Gelfand-Godement for general Gelfand pairs.
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Type
research article
Web of Science ID
WOS:000554840400001
Authors
Publication date
2020-08-03
Publisher
Published in
Volume
378
Start page
605
End page
611
Subjects
Peer reviewed
REVIEWED
Available on Infoscience
August 15, 2020