The Powers-Arveson index for quasifree dynamical semigroups
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Publication:1277503
DOI10.1007/BF02355468zbMath0932.46053MaRDI QIDQ1277503
Grigori G. Amosov, Andrey V. Bulinski
Publication date: 5 May 1999
Published in: Mathematical Notes (Search for Journal in Brave)
\(E_0\)-semigroupalgebra of canonical anticommutation relations with invariant exact quasifree statedynamical semigroup acting on a \(W^*\)-algebraindex-type invariantPowers-Arveson indexquasifree dynamical semigroupsquasifree semigroup
One-parameter semigroups and linear evolution equations (47D06) Noncommutative dynamical systems (46L55)
Cites Work
- Completely positive quasi-free maps on the CAR algebra
- Index theory and second quantization of boundary value problems
- On types of quasifree representations of Clifford algebras
- Some asymptotic properties of \(W^*\)-dynamical systems
- Free states of the canonical anticommutation relations
- Continuous Spatial Semigroups of ∗-Endomorphisms of ()
- An Index Theory for Semigroups of *-Endomorphisms of and Type II1 Factors.
- An Index Theory For Quantum Dynamical Semigroups
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