by Ng Yin Fun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves 50-51). / Abstracts in English and Chinese. / Acknowledgments --- p.i / Abstract --- p.ii / Introduction --- p.3 / Chapter 1 --- Preliminaries --- p.4 / Chapter 1.1 --- Hilbert C*-modules --- p.4 / Chapter 2 --- Self-dual Hilbert C*-modules --- p.14 / Chapter 2.1 --- Self-duality --- p.14 / Chapter 2.2 --- Self-duality and some related concepts --- p.22 / Chapter 2.3 --- A criterion of self-duality of HA --- p.23 / Chapter 3 --- Hilbert W*-modules --- p.25 / Chapter 3.1 --- Extension of the inner product to --- p.25 / Chapter 3.2 --- Extension of operators to --- p.33 / Chapter 3.3 --- Self-dual Hilbert W*-modules --- p.36 / Chapter 3.4 --- Some equivalent conditions for a Hilbert W*-module to be self-dual --- p.43 / Bibliography --- p.50

Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 1992. / Includes bibliographical references (p. 144-145).

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A Cuntz-Pimsner algebra is a quotient of a generalized Toeplitz algebra. It is completely determined by a C*-correspondence, which consists of a right Hilbert A- module, E, and a *-homomorphism from the C*-algebra A into L(E), the adjointable operators on E. Some familiar examples of C*-algebras which can be recognized as Cuntz-Pimsner algebras include the Cuntz algebras, Cuntz-Krieger algebras, and crossed products of a C*-algebra by an action of the integers by automorphisms. In this dissertation, we construct a Cuntz-Pimsner Algebra associated to a dynam- ical system of a substitution tiling, which provides an alternate construction to the groupoid approach found in [3], and has the advantage of yielding a method for com- puting the K-Theory. / Graduate

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