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pro vyhledávání: '"Fima, Pierre"'
The Mar\'echal topology, also called the Effros-Mar\'echal topology, is a natural topology one can put on the space of all von Neumann subalgebras of a given von Neumann algebra. It is a result of Mar\'echal from 1973 that this topology is Polish as
Externí odkaz:
http://arxiv.org/abs/2407.05776
Autor:
Fima, Pierre, Troupel, Arthur
We give a description of operator algebras of free wreath products in terms of fundamental algebras of graphs of operator algebras as well as an explicit formula for the Haar state. This allows us to deduce stability properties for certain approximat
Externí odkaz:
http://arxiv.org/abs/2302.01130
Publikováno v:
Discrete Analysis, 2022:8, 63 pp
We establish a sharp sufficient condition for groups acting on trees to be highly transitive when the action on the tree is minimal of general type. This gives new examples of highly transitive groups, including icc non-solvable Baumslag-Solitar grou
Externí odkaz:
http://arxiv.org/abs/2003.11116
Autor:
Fima, Pierre, Wang, Hua
We study the rapid decay property and polynomial growth for duals of bicrossed products coming from a matched pair of a discrete group and a compact group
Comment: submitted version, to appear in Journal of Noncommutative Geometry
Comment: submitted version, to appear in Journal of Noncommutative Geometry
Externí odkaz:
http://arxiv.org/abs/1812.04078
We show that many countable groups acting on trees, including free products of infinite countable groups and surface groups, are isomorphic to dense subgroups of isometry groups of bounded Urysohn spaces. This extends previous results of the first an
Externí odkaz:
http://arxiv.org/abs/1805.02477
Autor:
Fima, Pierre, Pittau, Lorenzo
In this note we observe that any compact quantum group monoidally equivalent, in a nice way, to a free wreath product of a compact quantum group $G$ by the quantum automorphism group of a finite dimensional C*-algebra with a $\delta$-form is actually
Externí odkaz:
http://arxiv.org/abs/1604.01236
Publikováno v:
Groups Geom. Dyn. 15 (2021) 1-34
We show that any free product of two countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of HNN extensions or free products, amalgamated over a finite group, admi
Externí odkaz:
http://arxiv.org/abs/1603.03671
Autor:
Fima, Pierre, Germain, Emmanuel
We prove a long exact sequence in KK-theory for both full and reduced amalgamated free products in the presence of conditional expectations. In the course of the proof, we established the KK-equivalence between the full amalgamated free product of tw
Externí odkaz:
http://arxiv.org/abs/1510.02418
Autor:
Fima, Pierre, Pittau, Lorenzo
Let $\mathbb{G}$ be a compact quantum group and $\mathbb{G}^{aut}(B,\psi)$ be the quantum automorphism group of a finite dimensional C*-algebra $(B,\psi)$. In this paper, we study the free wreath product $\mathbb{G}\wr_{*} \mathbb{G}^{aut}(B,\psi)$.
Externí odkaz:
http://arxiv.org/abs/1507.06107