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Showing 1 to 11 of 11 for “"crossed product"”.
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Performance of codes based on crossed product algebras
… focus on space-time codes constructed from crossed product algebras. This thesis is divided into three parts. In the first part we will present a method for constructing codes from crossed product algebras and derive bounds on their performance. The second part concerns itself with codes …
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Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators
… of Zettl's decomposition theorem, we introduce crossed products of ternary ring of operators (the full crossed product and the reduced crossed product). We also prove that $V\rtimes_{\alpha^{V}}G$ as the off-diagonal corner of the $C^*$-algebra $A(V)\rtimes_{\alpha^{A(V)}}G$. Equivalently, we …
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Structure of Intermediate C*-subalgebras of discrete group actions
… thcal{B}\subseteq\mathcal{A}\rtimes_r\Gamma$ is a crossed product. We show that for a large class of actions $\Gamma\curvearrowright\mathcal{A}$ of $C^*$-simple groups $\Gamma$ on unital $C^*$-algebras $\mathcal{A}$, including any non-faithful action of a hyperbolic group with trivial amenable …
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Generalized Fixed-Point Algebras for Twisted C*-Dynamical Systems
… action and its C*-algebra-valued inner product. Twisted Hilbert C*-modules form a category, where morphisms are twisted-equivariant adjointable operators, and we will establish that Meyer’s bra-ket operators are morphisms between certain objects in this category. A by-product of our work …
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Partial dynamical systems and AF C*-algebras
… our theorem is applied to obtain a result about crossed product C*-algebras. The ideas developed here are then used to compute the K-theory for AF algebras, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that for a given dimension group, …
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Tracial Rokhlin Property and Non-Commutative Dimensions
… property and the structure of the corresponding crossed products. It consists of two major parts. For the first part, we study several different aspects of finite group actions with certain versions of the Rokhlin property. We are able to give an explicit characterization of product-type actions …
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A Beurling Theorem for Noncommutative Hardy Spaces Associated with a Semifinite von Neumann Algebra with Various Norms
… continuous norm with respect to &\tau;. For a crossed product of a von Neumann algebra M by an action β, M o β Z, we are able to completely characterize all H-invariant subspaces of L a (Mo β Z,t) using our results. As an example, we completely characterize all H-invariant …
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Nonunital multiplier pairs and remarks on generalized group C*-algebras
… that this C*-algebra may be represented as a crossed product. Next we will show that under certain conditions on f or g, B (f, g) will be nuclear, weakly quasidiagonal and we will be able to compute its Ext group. In the last two sections we will give a partial description of the K1-group of B …
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Kauffman Bracket Skein Modules And The Quantum Torus
… category of modules over a simpler algebra, the crossed product Aq Z2 . We write ML for the image of Kq (S 3 \ L) under this equivalence. Theorem 5.2.1 gives a simple formula showing Jn (L) can be computed from ML , and Corollary 5.3.3 shows a recursion relation for Jn (L) can be computed from ML …
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Ideals and Maximal Commutative Subrings of Graded Rings
… investigation originates in the theory of C*-crossed product algebras associated to topological dynamical systems, where connections between intersection properties of ideals and maximal commutativity of certain subalgebras are well-known. In the last few years, algebraic analogues of these …
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Non-selfadjoint operator algebras generated by unitary semigroups
… the norm closed parabolic algebra Ap with a semicrossed product for the action on analytic almost periodic functions by the semigroup of one-sided translations and we determine its isometric isomorphism group. Moreover, it is shown that the norm closed triple semigroup algebra AphG+ is the triple …