Sentence examples for amalgamated product from inspiring English sources

Unnc is isomorphic to the relative commutant of Mn in the amalgamated product Mn∗c C(T).

We also prove that an amalgamated product of sofic groups over an amenable subgroup is again sofic.

We introduce a notion of sofic action for an arbitrary group and prove that an amalgamated product of sofic actions over amenable groups is again sofic.

This result is used to calculate the K-groups of an amalgamated product of two finite dimensional C*-algebras over a common maximal commutative subalgebra.

Define Un, rednc to be the relative commutant of Mn in the reduced amalgamated product of Mn∗cC(T) with respect to the usual traces.

One of the standard ways to produce algorithmically complicated groups is by simulating Turing machines using free constructions (HNN extensions and amalgamated products) which goes back to the seminal papers by Boone and Novikov (see, for example, [54]).

We show that each M± is isomorphic to an amalgamated free product of type I von Neumann algebras with amalgamation over a fixed discrete type I von Neumann subalgebra.

In particular, we obtain the conjectured six terms exact sequence for the K-theory of an amalgamated free product in this generality.

On the way to showing our main results, we obtain an explicit description of a connecting map arising in a six-term exact sequence computing the K-theory of an amalgamated free product, and we also exhibit an explicit isomorphism between ker 1C−A(E,C)) and K1(C⁎(E,C)).

We establish six terms exact sequences relating the KK-theory groups and the E-theory groups of an amalgamated free product C∗-algebra, A1∗BA2, to the respective groups of the three constituents, A1,A2 and B. In the KK-theory case, we assume that B is finite dimensional, but in the E-theory case only that B is nuclear, or is the range of a conditional expectation in both A1 and A2.

We get Bass Serre rigidity results on amalgamated free products of non-amenable exact direct product groups.