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arxiv: 1106.2631 · v1 · pith:S5IXZ3UVnew · submitted 2011-06-14 · 🧮 math.OA

Index Theory for Real Factors

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keywords factorsrealindexcomplexalgebrasanti-automorphismsapproacharbitrary
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The notion of index for arbitrary real factors is introduced and investigated. The main tool in our approach is the reduction of real factors to involutive *-anti-automorphisms of their complex enveloping von Neumann algebras. Similar to the complex case the values of the index for real factors are calculated.

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