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Classification of W*-Algebras

Chapter
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Part of the Classics in Mathematics book series (CLASSICS, volume 60)

Abstract

Let p, q be two projections of a W*-algebra M. If there exists a partial isometry u in M such that u*u = p and uu* = q, then p is said to be equivalent to q and denote this by p~q. If there exists a projection q1 (≤q) equivalent to p, we write this by p<q or q>p. We write p~q or p<q by p≤q.

Keywords

Hilbert Space Coupling Function Central Projection Partial Isometry Closed Linear Operator 
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 Berlin Heidelberg 1998

Authors and Affiliations

  1. 1.Department of MathematicsNihon UniversitySetagaya-Ku, Tokyo 156Japan

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