K-groups and Classification of Simple Quotients of Group C*-algebras of Certain Discrete 5-dimensional Nilpotent Groups
نویسندگان
چکیده
The K-groups, the range of trace on K0, and isomorphism classifications are obtained for simple infinite dimensional quotient C*-algebras of the group C*-algebras of six lattice subgroups, corresponding to each of the six non-isomorphic 5-dimensional connected, simply connected, nilpotent Lie groups. Connes’ non-commutative geometry involving cyclic cocycles and the Chern character play a key role in the proofs.
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