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Algebraic structures determined by 3 by 3 matrix geometry |
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| Authors: | Martin E Walter |
| Institution: | Department of Mathematics, Campus Box 395, University of Colorado, Boulder, Colorado 80309 |
| Abstract: | Using a ``3 by 3 matrix trick' we show that multiplication (an algebraic structure) in a  *-algebra  is determined by the geometry of the  *-algebra of the 3 by 3 matrices with entries from  ,  . This is an example of an algebra-geometry duality which, we claim, has applications. |
| Keywords: | $C^{\ast }$-algebra convolution completely bounded duality Fourier-Stieltjes algebra locally compact group positive definite function matrix entry unitary representation |
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