- 99-264 Jan Naudts
- C*-multipliers, crossed product algebras,
and canonical commutation relations.
Jul 12, 99
(auto. generated ps),
of related papers
Abstract. 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 construction of
the crossed product algebra A x X is generalized
by replacing the action of X in A by a projective action
of X as linear transformations of the space of continuous
functions with compact support in X and with values in A.
The generalizations are done in such a way that a one-to-one
correspondence exists between C*-multipliers and projective actions.
The results are applicable in mathematical physics. Quantum
spacetime is discussed as an example.