ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract If E is a l.m.c.*-algebra with a b.a.i., ℰ(E), ℛ(E) denote the enveloping algebra and the space of representations of E respectively, while ℬ(E) stands for the non-zero extreme points of the continuous positive linear forms on E. Thus, for suitable l.m.c.*-algebras E, F and an admissible topology on E ⊗ F, ℰ(E F) is given by the completedυ-tensor product of ⊗(E), ⊗(F) (whereυ is the projective tensorial l.m.c.C*-topology), while ℛ(E F) by the cartesian product of ℛ(E), ℛ(F). An analogous decomposition of ℬ(E F) is not valid in general.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01169579
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