This is a reference request.  I'm looking for a definition of Morita equivalence of *-algebras, as described below.  If anyone thinks that this is not the right way to define Morita equivalence of *-algebras, I'd be interested to hear that also.

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By a *-algebra, I mean an algebra equipped with an anti-involution ${}^*$, $(ab)^* = b^*a^*$.  (I'm mainly interested in finite-dimensional algebras.)

Recall that a Morita equivalence of algebras $A$ and $B$ consists of (1) a pair of bimodules $_AM_B$ and $_BN_A$, and (2) bimodule isomorphisms $f:{}_A(M\otimes N)_A \to {}_AA_A$ and $g:{}_B(N\otimes M)_B \to {}_BB_B$ such that (3) $f$ and $g$ satisfy the zig-zag identities.

If $A$ and $B$ are *-algebras, it seems to me that the definition of Morita equivalence should be modified (enhanced) as follows.  

First, note that the *-structure of $A$ allows us to convert between left and right $A$-modules, and similarly for $B$.  In particular, to any $A$-$B$ bimodule $_AX_B$ there is associated a $B$-$A$ bimodule $_BX^*_A$.  The first modification to the definition of Morita equivalence is to replace $_BN_A$ above with $_BM^*_A$.

Next, note that both $_AA_A$ and $_A(M\otimes M^*)_A$ have involutions coming from the *-structure.  The second (and final) modification to the definition is to require that the isomorphism $f:{}_A(M\otimes M^*)_A \to {}_AA_A$ intertwine with these two involutions, and similarly for $g:{}_B(M^*\otimes M)_B \to {}_BB_B$.

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Recall that an (ordinary) Morita equivalence gives an isomorphism between 0-th Hochschild homologies $HH_0(A) \cong HH_0(B)$.  A *-structure on $A$ gives rise to an involution of $HH_0(A)$.  The isomorphism $HH_0(A) \cong HH_0(B)$ coming from an ordinary Morita equivalence need not commute with the involutions on either side, but the above enhanced Morita equivalences do guarantee compatibility with the involutions on $HH_0$.

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So, repeating my initial question, where can i find the above definition in the literature?