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Cuntz-Krieger algebras.January 1998 (has links)
by Lam Shek Ki. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 59-60). / Abstract also in Chinese. / Acknowledgment --- p.i / Abstract --- p.ii / Introduction --- p.2 / Chapter Chapter 1 --- Prelimnaries / Chapter §1.1 --- A Summary on C*-algebras and their representation theory --- p.4 / Chapter §1.2 --- Primitive ideals --- p.7 / Chapter §1.3 --- Canonical form of a matrix --- p.12 / Chapter Chapter 2 --- Uniqueness and basic properties of OA / Chapter §2.1 --- Uniqueness of Cuntz-Krieger Algebra --- p.13 / Chapter §2.2 --- Basic properties of OA --- p.25 / Chapter Chapter 3 --- A generalization of OA / Chapter §3.1 --- Universal Cuntz-Krieger Algebras --- p.33 / Chapter §3.2 --- Gauge action on AO A --- p.36 / Chapter Chapter 4 --- The ideal structure of OA and AO A / Chapter §4.1 --- Gauge-invariant ideals of AO A --- p.39 / Chapter §4.2 --- The primitive ideal space of AO A --- p.49 / Bibliography --- p.59
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An infinite family of anticommutative algebras with a cubic formSchoenecker, Kevin J. January 2007 (has links)
Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 56).
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Derivations on operator algebrasHolm, Rudolph. January 2004 (has links)
Thesis (M.Sc.)(Mathematics)--University of Pretoria, 2004. / Title from opening screen (viewed Feb. 8, 2005). Includes bibliographical references.
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Linear associative algebras of infinite rank whose elements satisfy finite algebraic equationsConwell, Herman Henry, January 1931 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1931. / Typescript. With this is bound: Linear associative algebras of infinite rank whose elements satisfy finite algebraic equations / by H.H. Conwell. Reprinted from Bulletin of the American Mathematical Society (Feb. 1934), p. 95-102. Includes bibliographical references.
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PRESCALAR ELEMENTS IN BANACH ALGEBRASThomas, Gary Marshall, 1943- January 1971 (has links)
No description available.
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The Hecke C*-algebra of the ax + b group of the Laurent series over a finite fieldPapish, Volodymyr Gregory. 10 April 2008 (has links)
No description available.
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Rank, trace and determinant in Banach algebras23 April 2015 (has links)
M.Sc. (Mathematics) / Determinants have been present since the very beginning of functional analysis. The determinants of in nite matrices were investigated for the rst time by the astronomer G. W. Hill in his studies on lunar theory. These ideas were then made exact by H. Poincare in 1886. Ten years later, H. von Koch polished and generalized Poincare's results. In 1903, I. Fredholm provided groundbreaking research into the development of a determinant theory for integral operators ...
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Hereditary C*-subalgebras.January 2000 (has links)
by Law Yin King. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves 63-64). / Abstracts in English and Chinese. / Acknowledgments --- p.i / Abstract --- p.ii / Introduction --- p.3 / Chapter 1 --- Preliminaries --- p.5 / Chapter 1.1 --- The Enveloping von Neumann Algebra and Heredi- tary C*-Subalgebras --- p.5 / Chapter 1.2 --- C*-Crossed Products --- p.9 / Chapter 2 --- Hereditary C*-Subalgebras --- p.14 / Chapter 2.1 --- Polar Decompositions of Bounded Linear Functionals --- p.14 / Chapter 2.2 --- Unique State Extension --- p.19 / Chapter 2.3 --- Two Special Classes of Hereditary C*-Subalgebras --- p.25 / Chapter 3 --- C*-Crossed Products --- p.32 / Chapter 3.1 --- Hereditary C*-Subalgebras and Positive Definite Func- tions --- p.32 / Chapter 3.2 --- The Two Special Classes of Hereditary C*-Subalgebras in C*-Crossed Products --- p.43 / Chapter 3.3 --- Weak Expectations --- p.50 / Bibliography --- p.63
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On generalized Hilbert algebra.January 1978 (has links)
Sung Li-yeng. / Thesis (M.Phil.)--Chinese University of Hong Kong. / Bibliography: leaves 39-40.
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Amenability of certain banach algebras.January 2006 (has links)
Cheng Yin Hei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 72-75). / Abstracts in English and Chinese. / Chapter 1 --- Preliminaries --- p.1 / Chapter 1.1 --- "Haar measures, Group algebras and measure algebras of locally compact groups" --- p.1 / Chapter 1.2 --- Banach algebras and amenability --- p.7 / Chapter 2 --- Cohomological properties of Group algebras and Measure algebras --- p.13 / Chapter 2.1 --- Cohomological properties of L1(G) --- p.13 / Chapter 2.2 --- Amenability and weak amenability of M(G) --- p.16 / Chapter 3 --- Amenability and Fourier algebras with Bounded Approximate identities --- p.20 / Chapter 3.1 --- "Properties of Fourier-Stieltjes algebras, Fourier algebras, group von Neumann algebras" --- p.21 / Chapter 3.2 --- Conditions on A(G) that characterizing the amenability of G --- p.25 / Chapter 4 --- Operator Amenability and Fourier algebras --- p.45 / Chapter 4.1 --- Operator Amenability --- p.45 / Chapter 4.2 --- Hopf-von Neumann algebras and their predual structures --- p.50 / Chapter 4.3 --- Operator Cohomological properties of A(G) --- p.51 / Chapter 4.4 --- Ideals in A(G) with bounded approximate identities --- p.60 / Chapter 4.5 --- Other Cohomological properties of A(G) --- p.64 / Chapter A --- "Objects or notions and their ""dual"" versions" --- p.69 / Chapter B --- "Results and ""dual results"" for general locally compact groups" --- p.70 / Chapter C --- "Results and ""dual results"" which are equivalent to the amenability of the group" --- p.71 / Bibliography --- p.72
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