The Cuntz Algebra Q_N and C*-Algebras of Product Systems

Details The Cuntz Algebra Q_N and C*-Algebras of Product Systems The Cuntz Algebra Q_N and C*-Algebras of Product Systems

2011-08-03

arxiv.org/abs/1108.0790v1

Mathematics

Operator Algebras

13 pages

Scientific paper

We consider a product system over the multiplicative semigroup N^x of Hilbert
bimodules which is implicit in work of S. Yamashita and of the second named
author. We prove directly, using universal properties, that the associated
Nica-Toeplitz algebra is an extension of the C^*-algebra Q_N introduced
recently by Cuntz.

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