On discrete twisted C*-dynamical systems, Hilbert C*-modules and regularity

We first give an overview of the basic theory for discrete unital twisted C*-dynamical systems and their covariant representations on Hilbert C*-modules. After introducing the notion of equivariant representations of such systems and their product with covariant representations, we prove a kind of Fell absorption principle saying that the product of an induced regular equivariant representation with a covariant faithful representation is weakly equivalent to an induced regular covariant representation. This principle is the key to our main result, namely that a certain property, formally weaker than Exel's approximation property, ensures that the system is regular, i.e., the associated full and reduced C*-crossed products are canonically isomorphic.Comment: Final version, to appear in Muenster J. Math. A permanence result for the weak approximation property, some corollaries of it and two examples have been added to Section 5. Some side results in Section 4 have been removed and will be included in a subsequent paper. The Introduction has also been partly rewritte

On amenability and co-amenability of algebraic quantum groups and their corepresentations

We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability or co-amenability of such groups. As a background for this study, we also investigate the involved tensor C*-categories.Comment: 46 pages, (some misprints corrected, a couple of remarks and a new reference added

Amenability and co-amenability of algebraic quantum groups

We define concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele. We show that co-amenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or co-amenability are obtained. Co-amenability is shown to have interesting consequences for the modular theory in the case that the algebraic quantum group is of compact type.Comment: 25 pages, with some minor corrections, as to appear in the IJMM

Co-Amenability of compact quantum groups

We study the concept of co-amenability for a compact quantum group. Several conditions are derived that are shown to be equivalent to it. Some consequences of co-amenability that we obtain are faithfulness of the Haar integral and automatic norm-boundedness of positive linear functionals on the quantum group's Hopf *-algebra (neither of these properties necessarily holds without co-amenability).Comment: 25 pages. LaTe

The significance of pre-iridal monocellular membranes in dogs and those with anterior segment dysgenesis associated glaucoma, secondary glaucoma, and primary glaucoma

The abstract of this item is unavailable due to an embargo

TMG 4 (2018): Seals--Making and Marking Connections Across the Medieval World

Extensive geographic coverage, including China, South East Asia, Arabia, Sasanian Persia, the Muslim Empire, the Byzantine empire, and Western Europe allows the essays gathered in this volume to offer a well differentiated examination of seals and sealing practices between 400 and 1500 CE. Contributors expose rather than assume the inter-subjective, transnational, and transcultural connectivity at work within the varied processes mediated by seals and sealing – representation, authorization, identification, and transmission. These essays encourage an understanding that seals operated in liminal, transitional situations arising from legal, administrative, martial, mercantile, or diplomatic encounters, creating cross-cultural sealing networks in which adaption and accommodation underlay the force of seals as objects and images that generate sociocultural identification through mutual exchange and visual hybridity.https://scholarworks.wmich.edu/medieval_globe/1003/thumbnail.jp