Geodesic
Harmonic cochains and K-theory for $\tilde{A}_2$-groups
Guyan Robertson1
1University of Newcastle, Newcastle upon Tyne, Great Britain
Groups, geometry, and dynamics, Tome 8 (2014) no. 1, pp. 245-255

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DOI

If Γ is a torsion free A~2​-group acting on an A~2​ building Δ, and AΓ​ is the associated boundary C∗-algebra, it is proved that K0​(AΓ​)⊗R≅R2β2​, where β2​=dimR​H2(Γ,R).
DOI : 10.4171/ggd/224
Classification : 46-XX
Mots-clés : Euclidean building, boundary, operator algebra

Guyan Robertson  1

1 University of Newcastle, Newcastle upon Tyne, Great Britain 
Guyan Robertson. Harmonic cochains and K-theory for $\tilde{A}_2$-groups. Groups, geometry, and dynamics, Tome 8 (2014) no. 1, pp. 245-255. doi: 10.4171/ggd/224
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     title = {Harmonic cochains and {K-theory} for $\tilde{A}_2$-groups},
     journal = {Groups, geometry, and dynamics},
     pages = {245--255},
     year = {2014},
     volume = {8},
     number = {1},
     doi = {10.4171/ggd/224},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/224/}
}
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