Zobrazeno 1 - 10
of 305
pro vyhledávání: '"Neshveyev, Sergey"'
Given a Hausdorff locally compact \'etale groupoid $\mathcal G$, we describe as a topological space the part of the primitive spectrum of $C^*(\mathcal G)$ obtained by inducing one-dimensional representations of amenable isotropy groups of $\mathcal
Externí odkaz:
http://arxiv.org/abs/2405.02025
Given a C$^*$-algebra $A$ with an almost periodic time evolution $\sigma$, we define a new C$^*$-algebra $A_c$, which we call the crystal of $(A,\sigma)$, that represents the zero temperature limit of $(A, \sigma)$. We prove that there is a one-to-on
Externí odkaz:
http://arxiv.org/abs/2402.08665
We prove that the Cuntz-Pimsner algebra of every Temperley-Lieb subproduct system is KK-self-dual. We show also that every such Cuntz-Pimsner algebra has a canonical KMS-state, which we use to construct a Fredholm module representative for the fundam
Externí odkaz:
http://arxiv.org/abs/2401.01725
Given an extension $0\to V\to G\to Q\to1$ of locally compact groups, with $V$ abelian, and a compatible essentially bijective $1$-cocycle $\eta\colon Q\to\hat V$, we define a dual unitary $2$-cocycle on $G$ and show that the associated deformation of
Externí odkaz:
http://arxiv.org/abs/2312.00523
Given a locally compact \'etale groupoid and an ideal $I$ in its groupoid C$^*$-algebra, we show that $I$ defines a family of ideals in group C$^*$-algebras of the isotropy groups and then study to which extent $I$ is determined by this family. As an
Externí odkaz:
http://arxiv.org/abs/2308.10768
Autor:
Habbestad, Erik, Neshveyev, Sergey
We apply Majid's transmutation procedure to Hopf algebra maps $H \to \mathbb C[T]$, where $T$ is a compact abelian group, and explain how this construction gives rise to braided Hopf algebras over quotients of $T$ by subgroups that are cocentral in $
Externí odkaz:
http://arxiv.org/abs/2304.00494
Autor:
Habbestad, Erik, Neshveyev, Sergey
We complete our analysis of the Temperley-Lieb subproduct systems, which define quantum analogues of Arveson's $2$-shift, by extending the main results of the previous paper to the general parameter case. Specifically, we show that the associated Toe
Externí odkaz:
http://arxiv.org/abs/2212.08512
Autor:
Neshveyev, Sergey, Schwartz, Gaute
We study the question whether the representations defined by a dense subset of the unit space of a locally compact \'etale groupoid are enough to determine the reduced norm on the groupoid C$^*$-algebra. We present sufficient conditions for either co
Externí odkaz:
http://arxiv.org/abs/2201.11033
Autor:
Habbestad, Erik, Neshveyev, Sergey
We introduce a class of subproduct systems of finite dimensional Hilbert spaces whose fibers are defined by the Jones-Wenzl projections in Temperley-Lieb algebras. The quantum symmetries of a subclass of these systems are the free orthogonal quantum
Externí odkaz:
http://arxiv.org/abs/2111.10911