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Zeitschrift für Analysis und ihre Anwendungen

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Volume 13, Issue 1, 1994, pp. 3–6
DOI: 10.4171/ZAA/529

Published online: 1994-03-31

On the $K$-Theory Groups of Certain Crossed Product $C*$-A1gebras

A. Paolucci[1]

(1) University of Iowa, Iowa City, USA

Given $\alpha, \beta$ two irrational numbers in (0,1) we define an analogue of the irrational rotation $C*$-algebra on $T^2 = S^1 \times S^1$. Hence we compute explicitly the $K$-theory groups associated to that crossed product $C*$-algebra.

Keywords: $C*$ -algebras, crossed product $C*$-algebras, $K$-theory

Paolucci A.: On the $K$-Theory Groups of Certain Crossed Product $C*$-A1gebras. Z. Anal. Anwend. 13 (1994), 3-6. doi: 10.4171/ZAA/529