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Exposition: Groups of linear isometries on multiplier C*-algebras

Groups of linear isometries on multiplier C*-algebras

Authors: Claudio D'Antoni and Laszlo Zsido

Uploaded by: bci1

Comments:
Pacific Journal of Mathematics 193 (2000), 279-306.
Abstract:
The analytic generator of strictly continuous one-parameter groups of strictly continuous linear operators on M(A) for a multiplier C*-algebra A are being considered. The authors prove that: "there exists an one-to-one correspondence between surjective linear isometries on a multiplier C*-algebra A and strictly bicontinuous, surjective linear isometries on M(A), as well as between strongly continuous respectively strictly continuous locally compact groups of them." They also show that in the case of connected groups, such isometries arise from *-automorphism groups by perturbation with a cocycle. ( http://nyjm.albany.edu:8000/PacJ/2000/193-2-3.html ).
Rights:
Open access: http://nyjm.albany.edu:8000/PacJ/2000/193-2-3.html
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Physics Classification00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
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