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Full-Text Articles in Engineering
Representations Of Finite Groups And Cuntz-Krieger Algebras, M Mann, Iain Raeburn, C Sutherland
Representations Of Finite Groups And Cuntz-Krieger Algebras, M Mann, Iain Raeburn, C Sutherland
Faculty of Engineering and Information Sciences - Papers: Part A
We investigate the structure of the C*-algebras (9ρ constructed by Doplicher and Roberts from the intertwining operators between the tensor powers of a representation ρ of a compact group. We show that each Doplicher-Roberts algebra is isomorphic to a corner in the Cuntz-Krieger algebra (9A of a {0,1}-matrix A = Aρ associated to ρ. When the group is finite, we can then use Cuntz's calculation of the K-theory of (9A to compute K*((9ρ).
Zeckendorf Representations Using Negative Fibonacci Numbers, M W. Bunder
Zeckendorf Representations Using Negative Fibonacci Numbers, M W. Bunder
Faculty of Engineering and Information Sciences - Papers: Part A
It is well known that every positive integer can be represented uniquely as a sum of distinct, nonconsecutive Fibonacci numbers (see, e.g., Brown [1]. This representation is called the Zeckendorf representation of the positive integer. Other Zeckendorf-type representations where the Fibonacci numbers are not necessarily consecutive are possible. Brown [2] considers one where a maximal number of distinct Fibonacci numbers are used rather than a minimal number.