Geodesic
Tight inclusions of $C^*$-dynamical systems
Yair Hartman1 orcid ; Mehrdad Kalantar2 orcid
1Ben-Gurion University of the Negev, Be’er Sheva, Israel
2University of Houston, USA
Groups, geometry, and dynamics, Tome 18 (2024) no. 1, pp. 67-90

Voir la notice de l'article provenant de la source EMS Press

DOI

We study a notion of tight inclusions of C∗- and W∗-dynamical systems, which is meant to capture a tension between topological and measurable rigidity of boundary actions. An important case of such inclusions is C(X)⊂L∞(X,ν) for measurable boundaries with unique stationary compact models. We discuss the implications of this phenomenon in the description of Zimmer amenable intermediate factors. Furthermore, we prove applications in the problem of maximal injectivity of von Neumann algebras.
DOI : 10.4171/ggd/739
Classification : 37-XX, 47-XX
Mots-clés : C∗-dynamical systems, boundary actions

Yair Hartman  1   ; Mehrdad Kalantar  2

1 Ben-Gurion University of the Negev, Be’er Sheva, Israel
2 University of Houston, USA 
Yair Hartman; Mehrdad Kalantar. Tight inclusions of $C^*$-dynamical systems. Groups, geometry, and dynamics, Tome 18 (2024) no. 1, pp. 67-90. doi: 10.4171/ggd/739
@article{10_4171_ggd_739,
     author = {Yair Hartman and Mehrdad Kalantar},
     title = {Tight inclusions of $C^*$-dynamical systems},
     journal = {Groups, geometry, and dynamics},
     pages = {67--90},
     year = {2024},
     volume = {18},
     number = {1},
     doi = {10.4171/ggd/739},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/739/}
}
TY  - JOUR
AU  - Yair Hartman
AU  - Mehrdad Kalantar
TI  - Tight inclusions of $C^*$-dynamical systems
JO  - Groups, geometry, and dynamics
PY  - 2024
SP  - 67
EP  - 90
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/739/
DO  - 10.4171/ggd/739
ID  - 10_4171_ggd_739
ER  - 
%0 Journal Article
%A Yair Hartman
%A Mehrdad Kalantar
%T Tight inclusions of $C^*$-dynamical systems
%J Groups, geometry, and dynamics
%D 2024
%P 67-90
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/739/
%R 10.4171/ggd/739
%F 10_4171_ggd_739

Cité par Sources :