Zobrazeno 1 - 10
of 188
pro vyhledávání: '"Muhly, Paul S."'
We describe how noncommutative function algebras built from noncommutative functions in the sense of \cite{K-VV2014} may be studied as subalgebras of homogeneous $C^{*}$-algebras.
Externí odkaz:
http://arxiv.org/abs/1510.09189
Autor:
Muhly, Paul S., Solel, Baruch
Let $\mathcal{T}_{+}(E)$ be the tensor algebra of a $W^{*}$-correspondence $E$ over a $W^{*}$-algebra $M$. In earlier work, we showed that the completely contractive representations of $\mathcal{T}_{+}(E)$, whose restrictions to $M$ are normal, are p
Externí odkaz:
http://arxiv.org/abs/1507.02115
Autor:
Muhly, Paul S., Solel, Baruch
Let $H^{\infty}(E)$ be the Hardy algebra of a $W^{*}$-correspondence $E$ over a $W^{*}$-algebra $M$. Then the ultraweakly continuous completely contractive representations of $H^{\infty}(E)$ are parametrized by certain sets $\mathcal{AC}(\sigma)$ ind
Externí odkaz:
http://arxiv.org/abs/1210.2964
In the third and latest paper in this series, we recover the imprimitivity theorems of Mansfield and Fell using our technique of Fell bundles over groupoids. Also, we apply the Rieffel Surjection of the first paper in the series to relate our version
Externí odkaz:
http://arxiv.org/abs/1207.6095
We apply the One-Sided Action Theorem from the first paper in this series to prove that Rieffel's Morita equivalence between the reduced crossed product by a proper saturated action and the generalized fixed-point algebra is a quotient of a Morita eq
Externí odkaz:
http://arxiv.org/abs/1206.6739
Our goal in this paper and two sequels is to apply the Yamagami-Muhly-Williams equivalence theorem for Fell bundles over groupoids to recover and extend all known imprimitivity theorems involving groups. Here we extend Raeburn's symmetric imprimitivi
Externí odkaz:
http://arxiv.org/abs/1201.5035
Autor:
Muhly, Paul S., Solel, Baruch
We extend our Nevanlinna-Pick theorem for Hardy algebras and their representations to cover interpolation at the absolutely continuous points of the boundaries of their discs of representations. The Lyapunov order plays a crucial role in our analysis
Externí odkaz:
http://arxiv.org/abs/1107.0552
Autor:
Muhly, Paul S., Solel, Baruch
In this expository paper we describe the study of certain non-self-adjoint operator algebras, the Hardy algebras, and their representation theory. We view these algebras as algebras of (operator valued) functions on their spaces of representations. W
Externí odkaz:
http://arxiv.org/abs/1008.4069
Autor:
Muhly, Paul S., Solel, Baruch
We show that if $M$ and $N$ are $C^{*}$-algebras and if $E$ (resp. $F$) is a $C^{*}$-correspondence over $M$ (resp. $N$), then a Morita equivalence between $(E,M)$ and $(F,N)$ implements a isometric functor between the categories of Hilbert modules o
Externí odkaz:
http://arxiv.org/abs/1007.3486
Autor:
Muhly, Paul S., Solel, Baruch
Suppose $\mathcal{T}_{+}(E)$ is the tensor algebra of a $W^{*}$-correspondence $E$ and $H^{\infty}(E)$ is the associated Hardy algebra. We investigate the problem of extending completely contractive representations of $\mathcal{T}_{+}(E)$ on a Hilber
Externí odkaz:
http://arxiv.org/abs/1006.1398