Step 1: Identify Kerala Kalamandalam.
Kerala Kalamandalam is a deemed university for art and culture, established in 1930 by the great Malayalam poet Mahakavi Vallathol Narayana Menon, with the vision of reviving and preserving Kerala's classical art heritage.
Step 2: Identify what it is famous for.
Kerala Kalamandalam is world-renowned for nurturing and preserving Kerala's traditional performing arts, including Kathakali, Mohiniyattam, Koodiyattam, Thullal, and Panchavadyam, training generations of classical artists.
Step 3: Eliminate other options.
While architecture, music, and literature are important cultural expressions, Kalamandalam is specifically and comprehensively dedicated to Kerala's traditional performing arts as a whole.
\[ \boxed{\text{Kerala's traditional performing arts}} \]