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Fundamentals

  • William Arveson
Part of the Graduate Texts in Mathematics book series (GTM, volume 39)

Abstract

This chapter contains what we consider to be the essentials of non-commutative C*-algebra theory. This is the material that anyone who wants to work seriously with C*-algebras needs to know. The most tractable C*-algebras are those that can be related to compact operators in a certain specific way. These are the so-called GCR algebras, and they are introduced in Section 1.5, after a rather extensive discussion of C*-algebras of compact operators in Section 1.4.

Keywords

Irreducible Representation Compact Operator Banach Algebra Functional Calculus Strong Operator Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1976

Authors and Affiliations

  • William Arveson
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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