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MathematicalPhysicist

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i know that's it is concenered to commutivity (or the lack of it).

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- Thread starter MathematicalPhysicist
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- #1

MathematicalPhysicist

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i know that's it is concenered to commutivity (or the lack of it).

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HallsofIvy

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Lonewolf

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marcus

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Originally posted by Lonewolf

That's not so inaccurate! I think the first use of the term

"Connes fusion" was in a 1998 paper by Tony Wassermann at Cambridge

http://arxiv.org/abs/math.OA/9806031

and he references the 1994 book by Alain Connes "Non-commutative Geometry"

A group representation can be thought of as a 'module' and there is a way to "fuse" two representations together which is essentially taking a kind of "tensor product" of two modules.

And Connes talked about ways of fusing or multiplying together two modules.

Then in 1998 Anthony Wassermann was writing about Algebraic Quantum Field Theory and fusing two representations and he introduced the idea of "Connes fusion" in the first paragraph of the paper.

too bad its just a fusion of two algebraic structures and not some kind of new source of energy that would replace the need for petroleum

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