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By J.L. Alonso, R. Tarrach

This quantity comprises the Lectures brought on the X G.I.F.T.* foreign Seminar on Theoretical Physics at the topic ''Quantum Chromodynamics'' which used to be held at Jaca, Huesca, (Spain) in June 1979. the academics have been J. Bartels, H. Fritzsch, H. Leutwyler, H. Lynch, E. de Rafael, and C. Sachrajda, who lined either theoretical and phenoraenological elements of Q.C.D. round eighty physicists attended the Lectures on the place of dwelling of the collage of Zaragoza in Jaca. The participants of the Organizing Committee of the Seminar have been J.L. Alonso (Zaragoza University), J. Bernabeu (Valencia University), c. Pajares (Barcelona self sufficient University), R. Tarrach (Barcelona college) and F.J. Yndurain (Madrid self sufficient University).

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If the Hilbert spaces H and K are finite dimensional, then the relative tensor product H β ⊗γ K can be identified with a subspace of the usual tensor product ψ H ⊗ K. 4; let now M1 be a von Neumann algebra on H, such that β(N ) ⊂ M1 , and M2 be a von Neumann algebra on K, such that γ (N) ⊂ M2 . The von Neumann algebra generated by all elements x β ⊗γ y, where x belongs to N M1 , and y belongs M2 , will be denoted M1 β ⊗γ M2 (or M1 ⊗N M2 if no confusion N if possible), and will be called the relative tensor product of M1 and M2 over N .

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