We show that the fixed point algebra OG of the Cuntz algebra On n = 2, 3...,∞, under the canonical action of a strongly compact group G of unitaries on the generating Hubert space H is simple if the defining representation of G is a direct sum of finite dimensional representations whose determinant takes values in finite subgroups of the circle.
We find that the cost function of a linear sum assignment problem involves only the defining representation of the symmetric group, while quadratic assignment problems are superpositions of the representations indexed by the partitions (n), (n−1,1), (n−2,2), and (n−2,1,1).
If the defining representation of G is the direct sum of finite dimensional representations with determinant one the fixed point subalgebra OG of O∞ is a simple C∗-algebra.
BioPAX offers a standard, well defined representation of biological pathway data using OWL and it has been widely used in biological data integration [15, 31].
Carol Vernallis describes how verbal, musical, and visual codes combine in music video to create defining representations of race, class, gender, sexuality, and performance.
Additionally, in contrast to the well-defined categorical representation in control subjects, unsupervised clustering indicated poorly defined representation of semantic categories in patients.
The importance of spatially explicit and geographically defined representations of the network in urban and regional planning and design is stressed, and appropriate, context-dependent visualizations of these are suggested based on experience from real-world planning cases.
Previous studies have demonstrated that this cortical region can be subdivided on the basis of differences in the cytoarchitecture and electrophysiologically defined representations of the visual field.
The automorphisms (sigma ) and (rho ) define a representation of (Sigma _3), which is independent on a particular choice of the generators (sigma ) y (rho ) of orders (2) and (3), respectively.
We show that the differential calculus is compatible with the involution iff the coefficients T define a representation of the braid group.
