Geodesic
K-THEORY FOR THE C*-ALGEBRAS OF THE SOLVABLE BAUMSLAG–SOLITAR GROUPS
Glasgow mathematical journal, Tome 60 (2018) no. 2, pp. 481-486

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DOI

We provide a new computation of the K-theory of the group C*-algebra of the solvable Baumslag–Solitar group BS(1, n) (n ≠ 1); our computation is based on the Pimsner–Voiculescu 6-terms exact sequence, by viewing BS(1, n) as a semi-direct product Z[1/n] ⋊ Z. We deduce from it a new proof of the Baum–Connes conjecture with trivial coefficients for BS(1, n). 
POOYA, SANAZ; VALETTE, ALAIN. K-THEORY FOR THE C*-ALGEBRAS OF THE SOLVABLE BAUMSLAG–SOLITAR GROUPS. Glasgow mathematical journal, Tome 60 (2018) no. 2, pp. 481-486. doi: 10.1017/S0017089517000210
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     author = {POOYA, SANAZ and VALETTE, ALAIN},
     title = {K-THEORY {FOR} {THE} {C*-ALGEBRAS} {OF} {THE} {SOLVABLE} {BAUMSLAG{\textendash}SOLITAR} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {481--486},
     year = {2018},
     volume = {60},
     number = {2},
     doi = {10.1017/S0017089517000210},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000210/}
}
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