Hilbert W*- modules and coherent states

Bhattacharyya, T. ; Shyam Roy, S. (2012) Hilbert W*- modules and coherent states Journal of Physics A: Mathematical and Theoretical, 45 (24). Article ID 244020. ISSN 1751-8113

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Official URL: http://iopscience.iop.org/article/10.1088/1751-811...

Related URL: http://dx.doi.org/10.1088/1751-8113/45/24/244020


Hilbert C*-module valued coherent states was introduced earlier by Ali, Bhattacharyya and Shyam Roy. We consider the case when the underlying C*-algebra is a W*-algebra. The construction is similar with a substantial gain. The associated reproducing kernel is now algebra valued, rather than taking values in the space of bounded linear operators between two C*-algebras.

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