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K-groups and
classification of simple quotients of group C*-algebras of
certain discrete 5-dimensional nilpotent groups
S. Walters |
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Vol. 202 (2002), No. 2, 491–509
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Abstract |
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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. |
Milestones
Received: 20 May 2000
Published: 1 February 2002
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Authors |
| S. Walters | |
| Department of Mathematics and
Computer Science The University of Northern British Columbia 3333 University Way, Prince George B.C. V2N 4Z9, Canada |
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