Affiliation:
1. Department of Mathematics, Cergy-Pontoise University, 95000 Cergy-Pontoise, France
Abstract
The partial isometries of [Formula: see text] form compact semigroups [Formula: see text]. We discuss here the liberation question for these semigroups, and for their discrete versions [Formula: see text]. Our main results concern the construction of half-liberations [Formula: see text] and of liberations [Formula: see text]. We include a detailed algebraic and probabilistic study of all these objects, justifying our “half-liberation” and “liberation” claims.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
3 articles.
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1. Isolated Partial Hadamard Matrices and Related Topics;Open Systems & Information Dynamics;2018-06
2. Weingarten integration over noncommutative homogeneous spaces;Annales Mathématiques Blaise Pascal;2017-11-20
3. Liberation theory for noncommutative homogeneous spaces;Annales de la Faculté des sciences de Toulouse : Mathématiques;2017-02-06