REGULAR DILATIONS OF REPRESENTATIONS OF PRODUCT SYSTEMS
نویسندگان
چکیده
منابع مشابه
Isometric Dilations of Representations of Product Systems via Commutants
We construct a weak dilation of a not necessarily unital CP-semigroup to an E–semigroup acting on the adjointable operators of a Hilbert module with a unit vector. We construct the dilation in such a way that the dilating E–semigroup has a pre-assigned product system. Then, making use of the commutant of von Neumann correspondences, we apply the dilation theorem to proof that covariant represen...
متن کاملDistinguished positive regular representations
Let $G$ be a tamely ramified reductive $p$-adic group. We study distinction of a class of irreducible admissible representations of $G$ by the group of fixed points $H$ of an involution of $G$. The representations correspond to $G$-conjugacy classes of pairs $(T,phi)$, where $T$ is a tamely ramified maximal torus of $G$ and $phi$ is a quasicharacter of $T$ whose restriction t...
متن کاملcompactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولInverse systems and regular representations
LetG be a finite group acting on a finite-dimensional vector space V , such that the ring of invariants is polynomial. The purpose of this note is to describe exactly the finitely generated inverse systems such that the associated G-representation is the direct sum of copies of the regular representation of G. This generalizes work of Steinberg, Bergeron, Garsia, and Tesler. Related results are...
متن کاملRepresenting a product system representation as a contractive semigroup and applications to regular isometric dilations
In this paper we propose a new technical tool for analyzing representations of Hilbert C∗-product systems. Using this tool, we give a new proof that every doubly commuting representation over N has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of Rk+.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Proceedings of the Royal Irish Academy
سال: 2008
ISSN: 1393-7197,2009-0021
DOI: 10.3318/pria.2008.108.1.89