書誌事項

Dimensions and C[*]-algebras

Edward G. Effros

(Regional conference series in mathematics, no. 46)

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1981

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注記

Bibliography: p. 68-71

Includes index

Pagination varies: vii, 80 p.

内容説明・目次

内容説明

Discusses elementary algebras and $C^*$-algebras, namely those which are direct limits of complex semi simple algebras.

目次

Notations Nonintegral dimensions and indices in analysis and geometry Locally semisimple algebras and their Bratteli diagrams The characterization of the dimension groups Affine representations of simple dimension groups Finite difference equations and continued fractions Stationary systems, algebraic number theory, and Williams' problem Scales and dimensions for locally semisimple algebras The $K_0$ theory of $C^*$-algebras An application of the Bott Periodicity Theorem Further developments and problems References Index.

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