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pro vyhledávání: '"Klisse, Mario"'
Autor:
Klisse, Mario
In this article, we introduce the concept of weakly uniquely stationary representations. This framework enables us to investigate the complementability of closed subspaces within the context of continuous cohomology with coeffcients in Banach modules
Externí odkaz:
http://arxiv.org/abs/2407.15746
A countable discrete group is called Choquet-Deny if for any non-degenerate probability measure on the group, the corresponding space of bounded harmonic functions is trivial. Building on the previous work of Jaworski, a complete characterization of
Externí odkaz:
http://arxiv.org/abs/2406.05004
Autor:
Klisse, Mario
By employing the external Kasparov product, Hawkins, Skalski, White and Zacharias constructed spectral triples on crossed product C$^\ast$-algebras by equicontinuous actions of discrete groups. They further raised the question for whether their const
Externí odkaz:
http://arxiv.org/abs/2303.17903
For a real Hilbert space $H_{\mathbb{R}}$ and $-1 < q < 1$ Bozejko and Speicher introduced the C$^\ast$-algebra $A_q(H_{\mathbb{R}})$ and von Neumann algebra $M_q(H_{\mathbb{R}})$ of $q$-Gaussian variables. We prove that if $\dim(H_{\mathbb{R}}) = \i
Externí odkaz:
http://arxiv.org/abs/2202.13640
We introduce the relative Haagerup approximation property for a unital, expected inclusion of arbitrary von Neumann algebras and show that if the smaller algebra is finite then the notion only depends on the inclusion itself, and not on the choice of
Externí odkaz:
http://arxiv.org/abs/2110.15078
Autor:
Klisse, Mario
By exploiting properties of boundaries associated with Coxeter groups we obtain a complete characterization of simple right-angled multi-parameter Hecke C$^{\ast}$-algebras. This extends previous results by Caspers, Larsen and the author. Based on wo
Externí odkaz:
http://arxiv.org/abs/2105.05205
Autor:
Klisse, Mario
We introduce and study certain topological spaces associated with connected rooted graphs. These spaces reflect combinatorial and order theoretic properties of the underlying graph and relate in the case of hyperbolic graphs to Gromov's hyperbolic co
Externí odkaz:
http://arxiv.org/abs/2010.03414
Graph products of groups were introduced by Green in her thesis. They have an operator algebraic counterpart introduced and explored by Fima and the first-named author. In this paper we prove Khintchine type inequalities for general C$^{\ast}$-algebr
Externí odkaz:
http://arxiv.org/abs/1912.09061
Publikováno v:
In Advances in Mathematics 15 May 2023 421
Publikováno v:
In Journal of Functional Analysis 1 January 2021 280(1)