Title: A note on unitary representation problem with corrigenda to the articles Weak mixing and unitary representation problem, Bull. Sci. Math. 124 (2000) 517–523 and Identity excluding groups, Bull. Sci. Math. 126 (2002) 763–772
Abstract: Some of the assertions in the above mentioned articles turn out to be erroneous, as stated, on account of reliance on some earlier works. Here we describe modified (though more restrictive) hypothesis under which the analogues statements hold. We also uphold certain other results by providing a different proof.