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Kadison's transitivity for locally C∗-algebras

✍ Scribed by Maria Fragoulopoulou


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
453 KB
Volume
108
Category
Article
ISSN
0022-247X

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Let A and B be two unital separable simple nuclear C\*-algebras with tracial topological rank zero. Suppose that both A and B have the local approximation property: for any finite subset F and e > 0, there is a C\*-subalgebra C such that its dimensions of irreducible representations are bounded and

Tensor Products of Locally C*-Algebras a
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Given two lmc C\*-algebras E, F denote by v, x the projective resp. injective tensorial lmc C\*-topology on E 6 F [lo]. Then, E 5 x 5 v 5 a, where E, a the projective resp. biprojective tensorial topology on E 8 F. If now, F is commutative and A ( F ) denotes the GEL'FAND space of F, one obtains und