C*-Multipliers, crossed product algebras, and canonical commutation relations

Details C*-Multipliers, crossed product algebras, and canonical commutation relations C*-Multipliers, crossed product algebras, and canonical commutation relations

1999-07-09

arxiv.org/abs/math-ph/9907008v2

Physics

Mathematical Physics

slightly improved version, 26 pages (originally 21)

Scientific paper

The notion of a multiplier of a group X is generalized to that of a C*-multiplier by allowing it to have values in an arbitrary C*-algebra A. On the other hand, the notion of the action of X in A is generalized to that of a projective action of X as linear transformations of the space of continuous functions with compact support in X and with values in A. It is shown that there exists a one-to-one correspondence between C*-multipliers and projective actions. C*-multipliers have been used to define twisted group algebras. On the other hand, the projective action tau can be used to construct the crossed product algebra A x_tau X. Both constructions are unified in the present approach. The results are applicable in mathematical physics. The multiplier algebra of the crossed product algebra A x_tau X contains Weyl operators {W(x),x in X}. They satisfy canonical commutation relations w.r.t. the C*-multiplier. Quantum spacetime is discussed as an example.

Affiliated with

Also associated with

No associations

Rating

C*-Multipliers, crossed product algebras, and canonical commutation relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with C*-Multipliers, crossed product algebras, and canonical commutation relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and C*-Multipliers, crossed product algebras, and canonical commutation relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9746