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SOME EXAMPLES OF BLACKADAR AND KIRCHBERG'S MF ALGEBRAS

DON HADWIN

Department of Mathematics and Statistics, University of New Hampshire, Durham, NH, USA, 03824, USA

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and

JUNHAO SHEN

Department of Mathematics and Statistics, University of New Hampshire, Durham, NH, USA, 03824, USA

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https://doi.org/10.1142/S0129167X10006161Cited by:1 (Source: Crossref)

Abstract

In the paper, we provide some examples of Blackadar and Kirchberg's MF algebras by considering minimal and maximal tensor products of MF algebras and crossed products of MF algebras by finite groups or an integer group. We also present some examples of C*-algebras, which BDF extension semigroups are not groups. These examples include, for example, , and with 2 ≤ |H₁| < ∞ and 3 ≤ |H₂| < ∞ where |H₁| and |H₂| are the orders of the groups H₁ and H₂ respectively, and several others similarly.

Keywords:

AMSC: 46L10, 46L54

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