Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: All MSC categories starting with 47D25

 Expand all        Collapse all Results 1 - 2 of 2

1. CJM 1999 (vol 51 pp. 850)

Muhly, Paul S.; Solel, Baruch
 Tensor Algebras, Induced Representations, and the Wold Decomposition Our objective in this sequel to \cite{MSp96a} is to develop extensions, to representations of tensor algebras over $C^{*}$-correspondences, of two fundamental facts about isometries on Hilbert space: The Wold decomposition theorem and Beurling's theorem, and to apply these to the analysis of the invariant subspace structure of certain subalgebras of Cuntz-Krieger algebras. Keywords:tensor algebras, correspondence, induced representation, Wold decomposition, Beurling's theoremCategories:46L05, 46L40, 46L89, 47D15, 47D25, 46M10, 46M99, 47A20, 47A45, 47B35

2. CJM 1998 (vol 50 pp. 290)

Davidson, Kenneth R.; Popescu, Gelu
 Noncommutative disc algebras for semigroups We study noncommutative disc algebras associated to the free product of discrete subsemigroups of $\bbR^+$. These algebras are associated to generalized Cuntz algebras, which are shown to be simple and purely infinite. The nonself-adjoint subalgebras determine the semigroup up to isomorphism. Moreover, we establish a dilation theorem for contractive representations of these semigroups which yields a variant of the von Neumann inequality. These methods are applied to establish a solution to the truncated moment problem in this context. Category:47D25

© Canadian Mathematical Society, 2015 : https://cms.math.ca/