Eine Charakterisierung Gewisser Diskreter Gruppen Durch Ihre Reguläre Darstellung |
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Authors: | Günter Schlichting |
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Institution: | (1) Mathematisches Institut der Technischen Universität, Arcisstraße 21, 8 München 2 |
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Abstract: | Let W(G) be the W-algebra generated by the left regular representation of a discrete group G. We discuss the relationship between minimal central idempotents of W(G) and certain positiv definit functions on G. As a main result we get a characterisation of those groups G for which W(G)I {O} and W(G)II is a direct product of factors. If one includes the case W(G)II={O} these are precisely finite extensions of groups H, where H is abelian or nilpotent of class 2 with finite center and commutatorsubgroup of prime order. |
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