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2 results

  • The positive cones of k0-groups of crossed products associated with Furstenberg transformations on the 2-torus

  • Kazunori Kodaka
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 1 / February 2000
    Published online by Cambridge University Press:
    20 January 2009, pp. 167-175
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  • Let θ be an irrational number in (0,1) and f a real-valued continuous function on the 1-torus T. Letφθ, f be a Furstenberg transformation on the 2-torus T2 defined by for any (t, s) ∈ T2, where ρ is a non-zero integer, and we identify a function on T or T2 with a function on R or R2 with period 1, respectively. Let Aθ, f be the crossed product associated with φθ, f. In this paper we wiil compute the positive cone of the K0-group of Aθ, f.

  • C*-ALGEBRAS THAT ARE ISOMORPHIC AFTER TENSORING AND FULL PROJECTIONS

  • Kazunori Kodaka
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 47 / Issue 3 / October 2004
    Published online by Cambridge University Press:
    09 November 2004, pp. 659-668
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  • Let $A$ be a unital $C^*$-algebra and for each $n\in\mathbb{N}$ let $M_n$ be the $n\times n$ matrix algebra over $\mathbb{C}$. In this paper we shall give a necessary and sufficient condition that there is a unital $C^*$-algebra $B$ satisfying $A\not\cong B$ but for which $A\otimes M_n\cong B\otimes M_n$ for some $n\in\mathbb{N}\setminus\{1\}$. Also, we shall give some examples of unital $C^*$-algebras satisfying the above property.

    AMS 2000 Mathematics subject classification: Primary 46L05