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

Abstract

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.

13 pages

References in corpus (1)

• C*-algebras associated to product systems of Hilbert bimodules

Cited by in corpus (1)

• Two families of Exel-Larsen crossed products