algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
noncommutative topology, noncommutative geometry
noncommutative stable homotopy theory
genus, orientation in generalized cohomology
Roughly speaking, a -correspondence between two -algebras and is a generalised -homomorphism from to .
Let and be -algebras. An -correspondence is a pair consisting of a right Hilbert -module and a non-degerate -homomorphism ; i.e., the image is dense in (as Hilbert -modules).
We write
or just , and call this a -correspondence.
Let and be -correspondences. Then the internal tensor product is a Hilbert right -module. The composition
is defined by the the pair , where
Let and be -correspondences. A unitary intertwiner
is a unitary such that for all the following diagram commutes
…
https://doi.org/10.1017/S0013091512000259), arXiv:0908.0455
Relation to KK-theory:
https://doi.org/10.1017/is013010018jkt244), arXiv:1305.2495
Last revised on March 27, 2018 at 16:01:00. See the history of this page for a list of all contributions to it.