Geodesic
On the Lack of Inverses to C*-Extensions Related to Property T Groups
Canadian mathematical bulletin, Tome 50 (2007) no. 2, pp. 268-283

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DOI

Using ideas of S. Wassermann on non-exact ${{C}^{*}}$ -algebras and property $\text{T}$ groups, we show that one of his examples of non-invertible ${{C}^{*}}$ -extensions is not semi-invertible. To prove this, we show that a certain element vanishes in the asymptotic tensor product. We also show that a modification of the example gives a ${{C}^{*}}$ -extension which is not even invertible up to homotopy.
DOI : 10.4153/CMB-2007-027-1
Mots-clés : 19K33, 46L06, 46L80, 20F99, C*-algebra extension, property T group, asymptotic tensor, C*-norm, homotopy 
Manuilov, V.; Thomsen, K. On the Lack of Inverses to C*-Extensions Related to Property T Groups. Canadian mathematical bulletin, Tome 50 (2007) no. 2, pp. 268-283. doi: 10.4153/CMB-2007-027-1
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     title = {On the {Lack} of {Inverses} to {C*-Extensions} {Related} to {Property} {T} {Groups}},
     journal = {Canadian mathematical bulletin},
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