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Showing 1 to 20 of 39 for “"C*-algebras"”.
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Cohomological dimension for C*-algebras
We define and explore invariants for C*-algebras that arise as cohomological dimensions for associated categories of operator space modules. The setting of exact categories provides us with a robust framework to utilise homological techniques.<br/><br/>We develop initial global dimension theorems …
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Local Structure of Nuclear C*-Algebras
Made available in DSpace on 2015-09-28T15:20:12Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3392004.pdf: 1118456 bytes, checksum: d50eebb72d11c5f55df939f3ce192422 (MD5) Previous issue date: 2009
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On approximation properties of group C* - algebras
… relationship between three important operator algebras associated with a group: the reduced C*- algebra, the von Neumann algebra, and the uniform Roe algebra. The main result is the proof of the invariant approximation property for groups equipped with a conditionally negative length function. …
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Partial dynamical systems and AF C*-algebras
<p>By utilizing the connections between C*-algebras, groupoids, and inverse semigroups, we obtain a characterization theorem, in terms of dynamical systems, of approximately finite-dimensional (AF) C*-algebras. The dynamical systems considered in this characterization consist of partially defined …
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Dynamical C*-Algebras and Quadratic Perturbations for Fermions
… spacetimes in the context of dynamical C*-algebras. Our focus is on a particular class of interactions, that of kinetic perturbations; we provide their definition and we show that these induce, in the fermionic dynamical C*-algebra, symbols that obey the canonical anticommutation relation …
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Approximating rotation algebras and inclusions of C*-algebras
… of this thesis is the approximation of rotation algebras in the quantum Gromov–Hausdorff distance. We introduce the completely bounded quantum Gromov–Hausdorff distance and show that for even dimensions, the higher dimensional rotation algebras can be approximated by matrix algebras in this …
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Finite dimensional approximations and deformations of group C*-algebras
… We investigate when <em>C</em>*-algebras associated to discrete groups have such a property with particular emphasis on finding obstructions. In particular, we point out that groups with Kazhdan's Property (T) and only finitely many unitary equivalence classes of finite …
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Almost commuting elements of real rank zero C∗-algebras
… general version of this result for arbitrary C-algebras of real rank zero assuming that A satises a certain index-type condition. For operators in Hilbert spaces, we obtain two-sided estimates of the distance to the set of normal operators in terms of k[A;A]k and the distance from A to the set …
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Ternary Rings of Operators and Their Linking C*-Algebras
Made available in DSpace on 2015-09-28T15:19:32Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3030443.pdf: 4324822 bytes, checksum: 7d9e23e2810a0d2eb076278f0a50f05b (MD5) Previous issue date: 2001
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Nonunital multiplier pairs and remarks on generalized group C*-algebras
<p>In the first part of this paper we will consider a generalization of D. Hadwin and E. Nordgren's work on multiplier pairs. Here we will not assume the existence of an identity, but rather just ask for the existence of a bounded approximate identity. Without the assumption of the identity, we …
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Quantum stochastic flows on universal partial isometry matrix C*-algebras
… of quantum stochastic flows on universal C*-algebras generated by partial isometry matrix relations. This is a large class of C*-algebras that subsumes the family of graph C*-algebras and, more generally, Cuntz-Krieger algebras. The construction expands on the main results of the 2015 paper …
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C*-algebras of the planar crystal groups and their irreducible *-representations
… the irreducible *-representations of these C*-Algebras. Two further applications are described in the concluding paragraph below. The study of generalized representation theory arose from the study of unitary representations of groups. Quantum theory, for example, is where representation theory …
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OPERATOR RANGES OF SHIFTS AND C*-ALGEBRAS (STRANGE RANGE, QUASI-SIMILARITY, LATTICE)
… the ranges of P and Q. Thus, non-commutative C*-algebras need not have ranges which form a lattice. The question of whether the ranges of operators from different kinds of algebras form lattices is taken up and examples are provided.</p><p>It is proven that any pair of subspaces of a Hilbert …
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Rank constrained homotopies of matrices and the Blackadar-Handelman conjectures on C*-algebras
… conjectures on <em>C</em>*-algebras:</p> <p>Let <em>DF</em>(<em>A</em>) denote the set of all dimension functions on a <em>C</em>*-algebra <em>A</em> and let <em>LDF</em>(<em>A</em>) be the set of all <em>s</em> ∈ <em>DF</em>(<em>A</em>) which are lower semicontinuous. It is …
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Endomorphisms of Leavitt Path Algebras
… encoding information for certain classes of C*-algebras, particularly AF-algebras and Cuntz-Krieger algebras. These constructions have been generalized to a class of C*-algebras known as graph C*-algebras, which have found applications to several areas of C*-algebra theory. One prominent area of …
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Algebras of Toeplitz Operators
In this work we examine C*-algebras of Toeplitz operators over the unit ball in ℂ<sup>n</sup> and the unit polydisc in ℂ². Toeplitz operators are interesting examples of non-normal operators that generate non-commutative C*-algebras. Moreover, in the nice cases (depending on the geometry of the …
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Non-abelian duality for C*- algebraic covariant structures
… especie de producto cruzado torcido. Varias C*-algebras emergen de un proceso de construcción de estructuras covariantes. Estas construcciones pueden ser iteradas indefinidamente. Mostramos que algunas de las C*-algebras que aparecen en las iteraciones son isomorfas. Las construcciones son no …
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Free entropy dimensions and approximate liftings
… introduce a new invariant on finite von Neumann algebras that do not necessarily act on separable Hilbert space. We show that this invariant is independent of the generating set, and we obtain a number of results for von Neumann algebras that are not finitely generated.</p><p>In the third chapter …
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Torsion Units of Integral Group Rings and Scheme Rings
We study torsion units of algebras over the ring of integers Z with nice bases. These include integral group rings, integral adjacency algebras of association schemes and integral C-algebras. Torsion units of group rings have been studied extensively since the 1960’s. Much of the attention has been …
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