Zobrazeno 1 - 10
of 712
pro vyhledávání: '"22D25"'
We prove that the well-known explicit construction of the local theta correspondence by Li has a simple interpretation in terms of group C*-algebras. In particular, we deduce that in two standard cases where Li's method work, local theta corresponden
Externí odkaz:
http://arxiv.org/abs/2412.07501
In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-modules and of C*-correspondences. The construction produces global C*-c
Externí odkaz:
http://arxiv.org/abs/2412.02379
Let G be a locally compact group and let $\phi$ be a positive definite function on G with $\phi(e)=1$. This function defines a multiplication operator $M_\phi$ on the Fourier algebra $A(G)$ of $G$. The aim of this paper is to classify the ergodic pro
Externí odkaz:
http://arxiv.org/abs/2411.12122
We study quantum harmonic analysis (QHA) on the Bergman space $\mathcal{A}^2(\mathbb{B}^n)$ over the unit ball in $\mathbb{C}^n$. We formulate a Wiener's Tauberian theorem, and characterizations of the radial Toeplitz algebra over $\mathcal{A}^2(\mat
Externí odkaz:
http://arxiv.org/abs/2410.23110
Autor:
Houdayer, Cyril
We obtain an operator algebraic characterization of the noncommutative Furstenberg-Poisson boundary $\operatorname{L}(\Gamma) \subset \operatorname{L}(\Gamma \curvearrowright B)$ associated with an admissible probability measure $\mu \in \operatornam
Externí odkaz:
http://arxiv.org/abs/2410.11707
Autor:
Dewage, Vishwa, Mitkovski, Mishko
Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\mathcal{F}^2(\mathbb{C}^n)$. As an application, we provide a simplified treatment of the Gelfan
Externí odkaz:
http://arxiv.org/abs/2410.00080
Autor:
Austad, Are, Thiel, Hannes
We say that an inclusion of an algebra $A$ into a $C^*$-algebra $B$ has the ideal separation property if closed ideals in $B$ can be recovered by their intersection with $A$. Such inclusions have attractive properties from the point of view of harmon
Externí odkaz:
http://arxiv.org/abs/2408.14880
Autor:
Beltita, Ingrid, Beltita, Daniel
We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group $C^*$-algebras. The main step of the proof is a characterization of the nilpotent Lie groups among the solvable Lie grou
Externí odkaz:
http://arxiv.org/abs/2407.09937
For a unimodular totally disconnected locally compact group $G$ we introduce and study an analogue of the Hattori-Stallings rank $\tilde{\rho}(P)\in\mathbf{h}_G$ for a finitely generated projective rational discrete left $\mathbb Q[G]$-module $P$. He
Externí odkaz:
http://arxiv.org/abs/2405.08105
Autor:
Yamagami, Shigeru
Radial representations of finitely generated free groups are studied. The associated C*-algebra is located between the reduced and full group C*-algebras and its primitive ideal space is described concretely as a topological space.
Comment: 15 p
Comment: 15 p
Externí odkaz:
http://arxiv.org/abs/2404.03231