Abstract

We construct a unital separable C*-algebra Z as an analog of the hyperfinite type II1 factor. Besides being nuclear, simple, projectionless, and infinite-dimensional, Z has a unique tracial state, and is KK-equivalent to [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /], the algebra of complex numbers. It is shown that unital endomorphisms on Z are approximately inner, and that Z is isomorphic to the infinite tensor product of its replicas. It is also shown that AZA for certain interesting classes of unital simple nuclear C*-algebras A of real rank zero.

pdf

Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 359-413
Launched on MUSE
1999-04-01
Open Access
No
Back To Top

This website uses cookies to ensure you get the best experience on our website. Without cookies your experience may not be seamless.