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5 votes
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One-parameter semigroups of bimodules

Consider a monoidal category of bimodules over M. Here a bimodule is a Hilbert space with two normal representations of M. The monoidal structure is given by Connes' fusion. … What can we say about one-parameter “semigroups” of such bimodules? More precisely, consider a family E of bimodules parametrized by a real number t > 0 such that E_s ⊗ E_t = E_{s+t}. …
Dmitri Pavlov's user avatar
26 votes
8 answers
3k views

Bimodules in geometry

In noncommutative geometry this point of view is further generalized to bimodules. … Can anybody state some interesting theorems (or theories) involving bimodules in such a setting? Or just give some references to interesting papers? …
Dmitri Pavlov's user avatar