Student:	Mucahide Nesibe CANSU
Supervisor:	Prof. Dr. Abdugafur RAKHIMOV
Department:	Mathematics
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Title of the Thesis:	The Coupling Constant with Involutive *-Antiautomorphism Invariant
Level:	M.Sc.
Acceptance Date:	30/6/2006
Number of Pages:	102
Registration Number:	i1690

Summary:

In this study, the coupling constant with involutive *-antiautomorphism invariant is

defined to make the index defined by Jones specious the index on real operator algebra.

In the first part of the study, basic concepts and results in the operator theory and

functional analysis are summarized. In the second part, L^2 space with involutive *-

W* -factor and an involutive *-antiautomorphism the canonical representation of factor

Thus, for real case the coupling constant is defined, which is not known early and some

proporties of this are discussed.

Keywords: Von Neumann Algebra, Involutive *-antiautomorphism, The coupling consant

of Von Neumann, Real W* -algebra.

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