Real Baum-Connes assembly and T-duality for torus orientifolds. (English) Zbl 1326.46054
Summary: We show that the real Baum-Connes conjecture for abelian groups, possibly twisted by a cocycle, explains the isomorphisms of (twisted) \(KR\)-groups that underlie all T-dualities of torus orientifold string theories.
MSC:
| 46L60 | Applications of selfadjoint operator algebras to physics |
| 19K35 | Kasparov theory (\(KK\)-theory) |
| 19L64 | Geometric applications of topological \(K\)-theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 46L85 | Noncommutative topology |
| 19L50 | Twisted \(K\)-theory; differential \(K\)-theory |
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