Zobrazeno 1 - 10
of 492
pro vyhledávání: '"46L40"'
Autor:
Nawata, Norio
We say that a countable discrete group action $\alpha$ on a C$^*$-algebra $A$ is \textit{$\mathcal{W}$-absorbing} if there exist a C$^*$-algebra $B$ and an action $\beta$ on $B$ such that $\alpha$ is cocycle conjugate to $\beta\otimes \mathrm{id}_{\m
Externí odkaz:
http://arxiv.org/abs/2410.11213
Autor:
Komura, Fuyuta
In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalizati
Externí odkaz:
http://arxiv.org/abs/2409.04906
Autor:
Bikram, Panchugopal, Saha, Diptesh
In this article, we prove maximal inequality and ergodic theorems for state preserving actions on von Neumann algebra by an amenable, locally compact, second countable group equipped with the metric satisfying the doubling condition. The key idea is
Externí odkaz:
http://arxiv.org/abs/2407.05642
Autor:
Glück, Jochen, Groh, Ulrich
For a positive and invertible linear operator $T$ acting on a $C^*$-algebra, we give necessary and sufficient criteria for the inverse operator $T^{-1}$ to be positive, too. Moreover, a simple counterexample shows that $T^{-1}$ need not be positive e
Externí odkaz:
http://arxiv.org/abs/2407.05403
Autor:
M, Sureshkumar, Vaidyanathan, Prahlad
Given a separable, AF-algebra A and an inductive limit action on A of a finitely generated abelian group with finite Rokhlin dimension with commuting towers, we give a local description of the associated crossed product C*-algebra. In particular, whe
Externí odkaz:
http://arxiv.org/abs/2405.17380
Autor:
Mastnak, Mitja, Radjavi, Heydar
We consider the following question: Let $\mathcal{A}$ be an abelian self-adjoint algebra of bounded operators on a Hilbert space $\mathcal{H}$. Assume that $\mathcal{A}$ is invariant under conjugation by a unitary operator $U$, i.e., $U^* AU$ is in $
Externí odkaz:
http://arxiv.org/abs/2405.11075
Autor:
Pacheco, Sergio Girón
We discuss a strategy for classifying anomalous actions through model action absorption. We use this to upgrade existing classification results for Rokhlin actions of finite groups on C$^*$-algebras, with further assuming a UHF-absorption condition,
Externí odkaz:
http://arxiv.org/abs/2310.11537
In this paper, we construct large subalgebras of crossed product C*-algebras of noncommutative C*-dynamics from ideals. We apply our results to study locally trivial unital $C(X)$-algebras such as mapping tori.
Externí odkaz:
http://arxiv.org/abs/2310.05617
Autor:
Izumi, Masaki
A $G$-kernel is a group homomorphism from a group $G$ to the outer automorphism group of a C$^*$-algebra. Inspired by recent work of Evington and Gir\'{o}n Pacheco in the stably finite case, we introduce a new invariant of a $G$-kernel using $K$-theo
Externí odkaz:
http://arxiv.org/abs/2309.03441
Autor:
Nawata, Norio
Let $\mathfrak{C}$ be the smallest class of countable discrete groups with the following properties: (i) $\mathfrak{C}$ contains the trivial group, (ii) $\mathfrak{C}$ is closed under isomorphisms, countable increasing unions and extensions by $\math
Externí odkaz:
http://arxiv.org/abs/2309.00934