Continuous spatial semigroups of -endomorphisms of

Authors:
Robert T. Powers and Geoffrey Price

Journal:
Trans. Amer. Math. Soc. **321** (1990), 347-361

MSC:
Primary 47D25; Secondary 46L99, 47D05

DOI:
https://doi.org/10.1090/S0002-9947-1990-0974524-0

MathSciNet review:
974524

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Abstract: To each continuous semigroup of -endomorphisms of with an intertwining semigroup of isometries there is associated a -representation of the domain of the generator of . It is shown that the Arveson index is the number of times the representation contains the identity representation of . This result is obtained from an analysis of the relation between two semigroups of isometries, and , satisfying the condition for and .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1990-0974524-0

Article copyright:
© Copyright 1990
American Mathematical Society